SOLUTION: two angles are complementary. the sum of the measure of the first angle and half the second angle is 77 degrees. find the measure of the angles.

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Question 405415: two angles are complementary. the sum of the measure of the first angle and half the second angle is 77 degrees. find the measure of the angles.
Answer by lwsshak3(11628) About Me  (Show Source):
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two angles are complementary. the sum of the measure of the first angle and half the second angle is 77 degrees. find the measure of the angles.
..
let x=first angle
then 90-x=second angle (since angles are complementary)
x+(1/2)(90-x)=77
x+45-x/2=77
2x+90-x=154
x=154-90
x=64
90-x=26
..
ans:
The first angle=64 deg
The second angle=26 deg