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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]3 years ago
3 0
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°

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