Question

The angle of elevation from point A to point B measures 5(x-2) The angle of depression from point B to point A measures (x+14). Find the measure of each angle.

Answer 1

It's the first choice (20 degrees).

Explanation:

These angles will be equal ( by The Alternate Angle Theorem).

5(x - 2) = x + 14

5x - 10 = x + 14

4x = 24

x = 6.

So the measure of each angle = 5(6 - 2) = 6 + 14 = 20 degrees.