The measure of Angle E, the angle of elevation from point A to point B, is ( 3 x plus 1 ). The measure of Angle D, the angle of

Question

Serga [27]

3 years ago

5

The measure of Angle E, the angle of elevation from point A to point B, is ( 3 x plus 1 ). The measure of Angle D, the angle of

depression from point B to point A, is 2 ( x plus 8 ) Find the measure of each angle.

Mathematics

1 answer:

ryzh [129] · Answer 1 · 2022-08-04T12:49:27+03:00

Let
E----------------> angle of elevation
D----------------> angle of depression
we know that
E=(3x+1)
D=2(x+8)
remember that
angle of elevation is equals to angle of depression------> by alternate angles
then
E=D
(3x+1)=2(x+8)-----------> 3x+1=2x+16----------> 3x-2x=16-1-----> x=15
E=3*15+1-------> 46°
D=2*15+16-----> 46°

the answer is
the measure of angle of elevation and angle of depression is 46°