Angle in Radians

And an acute angle is an angle

This angle plus this angle is going to be equal to this angle.

This angle is equal to this vertical angle, is equal to its vertical angle right over here and that this angle is equal to this angle that is opposite the intersection right over here.

And so, if this angle is congruent to that angle, that angle is congruent to that angle, then they're congruent to each other

That angle is equal to this angle.

Angle ABC, this angle, is the same as angle DBE.

And this angle is a supplement to this angle.

This angle right over here is going to be equal to that angle over there

So that means that this angel, is equal to this angle, is equal to that angle

Or this angle plus this angle plus this angle is equal to 180.

So if this is angle A, this is angle B, and then let's call this angle C.

And then this angle and this angle.

Then this angle, this interior angle right over here

This angle is going to be congruent to that angle

We know this angle and we know this angle.

That's angle 1 and that's angle 2.

Angle CBE, which is this angle right over here, is equal to angle DBA and sometimes you might see that shown like this so angle CBE, that's its measure, and you would say that this measure right over here is the exact same amount.

So, that angle is equal to that angle and that ABD, which is this angle is congruent to DCA which is that angle over here

And in particular we can deduce that this angle right over here that the measure of angle CEA, CEA is equivalent to measure of angle DEA, DEA, the measure of angle DEA.

Well, if this angle is y, then this angle is opposite to y.

We'll this right here is equal to 92 degrees, and this angle right here is vertical with that angle.

So that is a 90 degree angle, a 90 degree angle and that is a 90 degree angle over there

You would say that the corresponding angle to this one right over here is this angle right up here if you were to continue this line off a little bit this is the corresponding angle and this one is the vertical but either way angle AEB let me write this down angle sorry angle ABE let me be clear careful angle ABE is going to be congruent to angle so that's ABE is congruent to angle DCE is congruent to angle DCE

So they gave us that angle 2 is congruent to angle 3.

This angle would have been slightly smaller than the first one.

Because this angle plus this magenta angle is going to equal the whole circle.

So this green angle plus this purple angle is equal to 180.

Pink angle, side in common and then the green angle

Measure of angle A is equal to measure of angle C.

X angle

Y angle

X angle

Y angle

Angle

Angle

So what is this angle?

The angle?

So we also have the measure of angle CEA, the measure of angle CEA plus the measure of angle DEA is equal to 180 degrees.

So this angle is psi, this angle right here is theta.

And then finally, of course, this angle and this angle will also be the same.

This angle, this whole angle is 180 degrees.

And we also we make this angle is equal to that angle.

How do we know that this angle is equal to this angle?

And they tell us that angle 1 is congruent to angle 2.