SOLUTION: two angles are complementary. The sum of the measure of the first angle and half the second angle is 79.5 degrees? what is the measure of the half angle?

Question 329680: two angles are complementary. The sum of the measure of the first angle and half the second angle is 79.5 degrees? what is the measure of the half angle?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
two angles are complementary. The sum of the measure of the first angle and half the second angle is 79.5 degrees? what is the measure of the half angle?
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A pair of angles are complementary if the sum of their measures is 90 degrees.
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Let x = first angle
and y = second angle
then
x+y = 90 (equation 1)
x + y/2 = 79.5 (equation 2)
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Solve equation 1 for x:
x+y = 90
x = 90-y
Substitute above into equation 2 and solve for y:
x + y/2 = 79.5
90-y + y/2 = 79.5
90-y/2 = 79.5
90 = 79.5 + y/2
10.5 = y/2
21 degrees = y (second angle)
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First angle:
x+y = 90
x+21 = 90
x = 69 degrees
.
Not sure what the question is but
then "half the second angle" is
(1/2)(21) = 10.5 degrees
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