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

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

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.

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.

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

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

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.

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.

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

We see that that doesn't have to be the case, because just the way I drew it, all these angles are

The smallest angle is ten degrees. What are the measures of all the angles? Well we know one of them, we know it's ten degrees.

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

That also means all of the angles in the triangle are congruent.

Opposite angles are congruent.

Corresponding angles are congruent.

Corresponding angles are equal.

To figure out what the other angles are

To see around corners.

Look at all the angles.

First let's look for the complementary angles so angles that add up to 90 degrees.

So the sum of all of these angles are going to be the sum of all of the angles in all three triangles.