Question

Find measure of angle a.

find measure of 1 interior angle in the regular polygon

find measure of angle​

Answer 1

All the answers and work is in the attached screen shot.

Explanation:

All the answers and work is in the attached screen shot.

Answer 2

150

Explanation:

First a diagram which looks like a 12 sided figure where all the sides are equal.

Now draw 2 consecutive radii.

There are 12 such triangles in a 12 sided polygon.

These triangles have an apex angle of 360 / 12 = 30 degrees.

The other two angles making up the triangle are both equal. Therefore x + x + 30 = 180

2x = 150

x = 75

But 75 is 1/2 of the interior angle. There are 2 such angles making up the interior angle 75 + 75 = 150