Question

What is the value of x?

Answer 1

C) 36

Explanation:

The two bottom angles are congruent, and the whole triangle equals 180º.

You are given the 108º and a straight line equals 180º. Subtract 180 and 108 to find the supplement of 108º.

180 - 108 = 72

Vertical angles are always the same so the the bottom left angle is 72º, because the two bottom angles are congurent, they each equal 72º.

A triangle's interior angle eqauls 180º so add both congruent angles, and then subtract 180 from it.

72 + 72 = 144

180 - 144 = 36º

Answer 2

C. 36

Explanation:

first we use the 108, since half a circle is 180, we subtract 180-108 to get 72, we multiply it by 2 since this is an isoceles triangle. Finally we subtract from 180 which is the measure of a triangle in degrees to get C. 36