Question

The measure of Angle E, the angle of elevation from point A to point B, is 5 ( x minus 2). The measure of Angle D, the angle of depression from point B to point A, ( x plus 14 ). Find the measure of each angle.
A. measure of angle E equals 20 degrees, measure of angle D equals 20 degrees
B. measure of angle E equals 6 degrees, measure of angle D equals 6 degrees
C. measure of angle E equals 10 degrees, measure of angle D equals 18 degrees
D. measure of angle E equals 55 degrees, measure of angle D equals 27 degrees

Answer 1

Answer:

A. measure of angle E equals 20 degrees, measure of angle D equals 20 degrees

Answer 2

Angle E----------------- > is 5( x-2) angle of elevation from point A to point B
Angle D----------------- > is ( x+14) angle of depression from point B to point A

D+(90°-E)=90°   angles  D and (90°-E)  are complementary
therefore D=E
5( x-2)=x+14
5x-10=x+14
4x=24------ > x=6°
angle E=5(x-2)=5(6-2)=20°

the answer is the letter A. measure of angle E equals 20 degrees, measure of angle D equals 20 degrees