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denis23 [38]
3 years ago
11

the measure of angle e, the angle of elevation from point a to point b, is (3x+1). The measure of angle s, the angle of depressi

on from point b to point a, is 2(x+8). Find the measure of each angle.

Mathematics
2 answers:
bagirrra123 [75]3 years ago
7 0
C    m angle E= 46 degrees,  m angle D=46 degrees
Shalnov [3]3 years ago
3 0

Answer:   m∠ E = 46°, m∠ S = 46°

Step-by-step explanation:

Angle of elevation from point a to b ( angle E ) is the angle between the horizontal and the line from a to b .

And, Angle of depression from b to a ( angle S ) is the angle from the horizontal downward from b to a,

Since, all the horizontal lines are parallel to each other,

By the alternative interior angle theorem,

Angle of elevation from point a to b = Angle of depression from point b to a,

⇒ m ∠ E = m ∠ S  

⇒ 3x + 1 = 2(x+8)  ( Given )

⇒ 3x + 1 = 2x + 16

⇒ x = 15,

Hence, m∠ E = 3x + 1 = 45 + 1 = 46°

⇒ m∠S = 46°

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