The measure of one angle is 15 degrees more than half the measure of its complement

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The measure of one angle is 15 degrees more than half the measure of its complement

The measure of one angle is 15 degrees more than half the measure of its complement. Find the measure of the two angles.

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Answer 1

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Answer #1

A = Compliment = X Deg.
B = (X/2 + 15) Deg.

The sum of complimentary angles = 90 Deg.
X + (X/2+15) = 90 Deg.
Multiply both sides by 2:
2x + x + 30 = 180.
3x = 180 - 30 = 150.

X = 150 / 3 = 50 Deg.
x/2 + 15 = 50/2 + 15 = 40 Deg.

answered by: Sage

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Answer 2

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