A list of many types of Angles from Geometry

There are many types of angles in geometry. I previously made a very basic list of angle pairings on my technical blog. This was written from the perspective of sketching shapes. The previous article only scratched the surface. As such, I've been wanting to revisit this topic from more generic geometry-based perspective. As an ad interm step, I've complied this list of different types of angles (basic types or shapes), angle pairings (group or related), and angle positions. In the future, I'll use this list as the basis for some sort of content with visual examples.
 

Angle Name	Alternate name	Definition	Concept
Acute	n/a	An angle that measures less than 90 degrees.	basic type
Full	Full Rotation	An angle that measures exactly 360 degrees.	basic type
Obtuse	n/a	An angle that measures more than 90 degrees but less than 180 degrees.	basic type
Reflex	n/a	An angle that measures more than 180 degrees but less than 360 degrees.	basic type
Right	n/a	An angle that measures exactly 90 degrees.	basic type
Straight	n/a	An angle that measures exactly 180 degrees.	basic type
Zero	n/a	The two rays of the angle make zero degrees inclination with respect to each other	basic type
Adjacent	n/a	Two angles that share a common vertex and a common ray but do not overlap.	group
Alternate	n/a	Pairs of angles formed when a transversal intersects two lines. They are on opposite sides of the transversal and are congruent.	group
Alternate Exterior	n/a	Pairs of angles formed when a transversal intersects two lines. They are on opposite sides of the transversal and outside the pair of lines.	group
Alternate Interior	n/a	Pairs of angles formed when a transversal intersects two lines. They are on opposite sides of the transversal and inside the pair of lines.	group
Congruent	n/a	Angles that have the same measure.	group
Consecutive Exterior	n/a	Pairs of angles formed when a transversal intersects two lines. They are on the same side of the transversal and outside the pair of lines.	group
Consecutive Interior	n/a	Pairs of angles formed when a transversal intersects two lines. They are on the same side of the transversal and inside the pair of lines.	group
Corresponding	n/a	Pairs of angles formed when a transversal intersects two lines. They are on the same side of the transversal and in corresponding positions.	group
Non-adjacent Complementary	n/a	Either of two non-adjecent angles whose sum is 90 degrees.	group
Non-adjacent Explementary	Conjugate	Either of two non-adjecent angles whose sum is 360 degrees.	group
Non-adjacent Supplementary	n/a	Either of two non-adjacent angles whose sum is 180 degrees.	group
Central	n/a	An angle whose vertex is at the center of a circle.	position
Inscribed	n/a	An angle formed by two chords in a circle with its vertex on the circle.	position
Related	n/a	A general term used for pairs of angles with a common vertex, which can include various angle relationships.	position
Adjacent Complementary	n/a	Either of two adjecent angles whose sum is 90 degrees.	related
Adjacent Explementary	n/a	Either of two adjecent angles whose sum is 360 degrees.	related
Adjacent Supplementary	Linear Pair	Either of two adjecent supplementary angles.	related
Vertically Opposite	Vertical	A pair of non-adjacent angles formed by the intersection of two straight lines and are opposite to each other. They have equal measures and will never form a linear pair.	related
Concave	n/a	An angle with some of its interior points outside the polygon it forms.	shape
Convex	n/a	An angle with all its interior points inside the polygon it forms.	shape
Dihedral	n/a	The angle between two intersecting planes.	shape
Exterior	n/a	An angle formed by one side of a polygon and the extension of an adjacent side.	shape
Exterior Right	n/a	An angle formed by an extended side of a polygon and an adjacent side at a right angle.	shape
Interior	n/a	Angles formed within the boundary of a polygon.	shape
Reflex Interior	n/a	An angle greater than 180 degrees within a polygon.	shape
Spherical	n/a	An angle formed by two intersecting great circles on a sphere.	shape

The last time I mentioned geometry on this blog was back in 2007. It's a story about how I solved an "impossible" geometry problem on a technicality.

DVD from Netflix25 at the end of an era

#DVDNetflix25 at the end of an era from a company that literally changed society twice within two decades. (DVD.com was the best way to bypass the streaming wars.)

Instagram: https://www.instagram.com/p/CxBIAKfLz50/

 

Leezakaya, new Japanese-style restaurant in Aurora, CO

 

These are prolly bad for my yard, but they seem to be minding their own business right now

Yeah, these are "bad, bad, bad."

Instagram: https://www.instagram.com/p/Cws5CEKvnn3/

Facebook response (which called me to action): https://www.facebook.com/fcsuper/posts/pfbid09MLq5XSmTV6qcHfFLJfPbdJUNyJqVW9vVp9zx7SCMTaqYKGWyM7umtEvYV1672DTl (backup link)

Lookout Mountain Trail Golden Colorado

Instagram: https://www.instagram.com/p/CGxb0aVlp9D/

Looks like we have a new neighbor

Instagram: https://www.instagram.com/p/CwLXyB5vUlH/

Remember in the 1980's when every other song was sung by a guy that looks like he was just someone's uncle?

 

Instagram: https://www.instagram.com/p/Cv8Nxp2SoaT/

Delicious Korean BBQ. This dish is way bigger than it appears.

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A post shared by Matthew Lorono (@fcsuper)

Wild berries and flowers from the bramble

 

Instagram: https://www.instagram.com/p/CvnPVxMvyPj

The Starbucks constellations / zodiac , including the siren

 

Instagram: https://www.instagram.com/p/CvSjFWLxXLM/

A snail who is snailing

 

Instagram: https://www.instagram.com/p/CvB4mDpOU1Y/

My friend bought me this Coke over 8 years ago at work ~ I've kept it this whole time just to see what would happen

 

Instagram: https://www.instagram.com/p/CukGdAvLAGv/

 I've kept it this whole time just to see what would happen to it. It's been an interesting evolution from pristine bottle of Coke to this warped and transparent near-work-of-art today. But, alas, its time has come to an end as it's now time to pass Coke Matt along to the gods.

OMG! Meteor

 

Allie and I spotted this meteor while driving with headlights on while going down a well-lit road.  It was a nice surprise.  Of course, the meteor was a lot brighter to our eyes and what the camera actually saw.

Tour of the Solar System News, from Mercury to outer limits of the Solar System

 Let's take another tour of the Solar System with current news about each of our major objects.

Mercury - Dramatic Flyby Confirms That Mercury's Radioactive Aurora Touches the Ground, backup link and source material.

Venus - The Founder of OceanGate Wants to Send 1,000 People to Colonize Venus, backup link.

Earth - Why Nasa is exploring the deepest oceans on Earth, backup link.

Mars - Mars helicopter Ingenuity breaks 3-month flight gap with 53rd Red Planet hop. backup link.

Ceres - The Dwarf Planet on Our Doorstep, backup link.

Jupiter - James Webb Space Telescope sees Jupiter moons in a new light, backup link.

Saturn - 100-year 'megastorms' on Saturn shower the ringed planet in ammonia rain, backup link.

Uranus - NASA's New Horizons will investigate Uranus from the rear (Neptune, too). Here's how you can help, backup link.

Neptune - Neptune's Disappearing Clouds Linked to the Solar Cycle, backup link.

Pluto - None Of Pluto's Five Moons Actually Orbit The Dwarf Planet, backup link.

Haumea - NASA Studies Origins of ‘Weird’ Solar System Object: Dwarf Planet Haumea, backup link.

Makemake - The Dwarf Planet Named for an Easter Island Fertility God, backup link.

Eris -  Meet the Solar System's five, backup link.

Quaoar - Dwarf planet Quaoar has a ring instead of a moon, and scientists don't know why, backup link.

Orcus - The Dwarf Planet Orcus, backup link.

Salacia - As big as Ceres, but much farther away, backup link.

Gonggong - First dwarf planet in solar system named after Chinese mythical figure, backup link.

Sedna - 2029 will be the perfect year to launch a mission to Sedna, backup link.

Possible resurrection of the landing page

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In the early days of the internet, landing pages were often little more than menus that website visitors use to navigate to different pages and sites. Software at the time also heavily relied on menu-based interfaces. Even the most expensive applications had very simple menus as their landing page, often called "main menu".

However, for decades, forcing users into a main menu or other landing page has been considered bad user interface design. Menus were moved from the opening screen to the top bar, bottom bar, and even along the sides of the window/screen. For a long time, applications would open directly into the application's workspace, where users would then navigate menus to open files. Similarly, websites commonly started directly on the content page, with navigation moved to the sidebar.

About ten years ago, user interface design started to shift back to special pages for operational activities such as opening documents. Let's call these collectively as "operations pages." Microsoft Office returned to the idea of a special page for operations in recent versions, though these pages are optional. Other applications also now have operations pages that are not optional.  (These are sometimes called splash pages.) The interfaces of these operations pages vary quite a bit from application to application, with many applications (including Office applications) trying to use all the extra real estate to provide some additional functionality.

Linktree

In 2016, Linktree came along and rebranded the old-fashioned landing page. It was created because social media websites don't allow their users to place more than one website in their profile pages. Linktree hosts a page that acts as a personal landing page for all of your various social media profiles. Linktree is a bit fancier than what was used in the 1980s and 1990s, but functionally identical from the perspective of the website visitor. From the perspective of the Linktree's customer, it provides some useful services for a fee (such as tracking visitor data).

There are now other Link in Bio hosting services as well.

WordPress

In 2023, WordPress is finally getting into this game with w.link. WordPress supports the creation of a landing page that looks very similar to Linktree's concept. The advantage of WordPress' solution is that users can self-host their landing page. Even with self-hosting, WordPress still offers some useful services for a fee.

However, for users who are already self-hosting and don't need those additional services, there's no need to use Linktree, WordPress, or any other "Link in Bio" services. You can just make your own landing page with relatively few lines of code in an HTML file.

fcsuper's place

I've literally been using a landing page from day-one on my website fcsuper.com (since mid-aughties).  I'm sure many of my visitors over the years sneered when they arrived upon my original landing page.  My original landing page was ugly, but functional.

After seeing the concept of the landing page undergoing a resurrection, I decided it was time to refresh my own. My new landing page has been active for a few months. It was modernized to be flexible, allowing it to display correctly on both phones and computers. It's still very simple, but it has some previews of content. It has no ads (yet) and no tracking. It's literally just a menu of my personal web across the internet.

However, this has now led me to a new thought. Should I make two landing pages: one for my truly personal activities, and one for my career-related activities? I guess I'll figure that out soon enough.