Question

Find the measure of x, then find the measure of each angle​

Answer 1

First, you have to imagine that you cut the upper triangle. If you do that, then this is how the inner angles are added to 180°:

180° = 90° + (x/2) + (7x - 90°)

180° = x/2 + 7x

180° = x *(1/2 + 7)

180° = x*(15/2)

2/15 * 180° = x

24 = x

Angle A:

A= x/2

A = 24/2

A = 12°

Angle B:

B = 7x

B = 7*24

B = 168°

The two bottom angles are both worth 90°.