(60 points) the measure of angle e, the angle of elevation from point a to point b, is 5(x-2) degrees. the measure of d, the angle of depression from point b to point a is (x + 14) degrees. find the measure of each angle.

Take a look at the figures, it's the same angle from a different point of view, so since they are both equal we can set these two equations equal to each other, then solve for 'x':



Distribute 5 into the parenthesis:



Add 10 to both sides:



Subtract 'x' to both sides:



Divide 4 to both sides:



So this is our value of 'x', we can plug it into any of the two equations to find the measurement for both angles:







So the length of both angle E and angle D is 20 degrees.

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