So, if we want the measure of the sum of all of the interior angles, all of the interior angles are going to be

All the angles are the same

Similar means all the angles are the same.

A regular hexagon tells us that all of the sides are the same, it's equilateral, and all of the angles are the same, equiangular.

Or that all of the corresponding angles are congruent to each other.

If you look at the angles around the fold, you find that if you number the angles in a circle, all the even numbered angles add up to a straight line, all the odd numbered angles add up to a straight line.

Identify all acute, obtuse, and right angles in the image below.

For these two triangles, all of the corresponding angles are the same.

Well, it tells us all the corresponding angles are going to be congruent

However, none of these options can make an object as large as a person appear invisible for all angles and distances while its moving.

In the next video I'm just going to do a bunch of examples just to show that if you know one of these angles, you can really figure out all of the angles.

Once we know that, we know that all the corresponding angles are congruent

I'm showing you, these are all things that you can do while playing the angle game.

So just there we know that all of the angles in both of the triangles are congruent.

The way that they've drawn it here, actually all of them are acute.

So we know that all of the angles are the same, and now we have to make some type of argument that all of the sides are the same.

Well we know all the angles of these things off up, we can figure out all the angles of the larger ones up here

If you look at the angles around the fold, you find that if you number the angles in a circle, all the even numbered angles add up to a straight line, all the odd numbered angles add up to a straight line.

Or taking the time to look at a problem from all angles in the office to make the best decision at work.

Corners

And if we know that all four angles are 90 degrees and we've proven in previous videos how to figure out the sum of the interior angles of any polygon and using that same method, you could say that the sum of the interior angles of a rectangle, or of any, of any quadril, of any quadrilateral, is actually a hund is actually 360 degrees, and you see that in this special case as well, but maybe we'll prove it in a separate video.

Square is all the sides are parallel, equal, and all the angles are 90 degrees.

All six sides have the same length and all of the interior angles have the same measure

And that also tells that all of the corresponding angles and sides are going to be the same

Now let's think about the supplementary angles. so supplementary angles

Let's do the angle game some more.

We could have done a lot of other stuff.

by alternate interior angles

But if all of the interior angles are less than 180 degrees, then you are dealing with a convex quadrilateral.

'cause it really just comes out of alternate interior angles and corresponding angles of transversals intersecting parallel lines

Infact all of the angles are the same. So, because of that we can say that they are similar.

Those angles add up to that one, and those angles add up to that one.

Multiple Corners

Round Corners...

Squared corners

Round corners

Complements.

Vertical angles.

corresponding angles.

The other type of quadrilateral, you can imagine, is when all of the interior angles are less than 180 degrees.

I used the British English, opposite angles if the angles share the same vertex and are bounded by the same pair of

We're almost done learning all the rules or laws of angles that we need to start playing the angle game.

So corresponding angles let me write these these are corresponding angles are congruent.

Radians instead of degrees

Which of these angles has a measure of 60 degrees?