Question

What’s the value of x?

Answer 1

150 degrees

Explanation:

Let's call the angle in the triangle next to the 78 A, the one next to the 132 B, and the one next to the x C. You know that the measure of angle A is 180-78=102 because they are linear pairs. Similarly, the measure of angle B is 180-132=48 degrees. Because all of the angles in a triangle must add up to 180 degrees, C must be 180-102-48=30 degrees. Finally, since x and C are linear pairs, x's angle measure must be 180-30=150 degrees. Hope this helps!