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"Complimentary" means "adds to 90°"

x is the first angle, so (90-x) must be the other

x + (90-x)/2 = 87.75

x + 45 - (x/2) = 87.75

(x/2) = 42.75

x = 85.50° ◄

Other angle must be 4.50° ◄

Check it:

85.50 + (4.50/2) = 87.75

85.50 + 2.25 = 87.75 ■

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Q: Two angles are complimentary The sum of the measures of the first angle and half the second angle is 87.75 degrees Find the measures of the angles?
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