SOLUTION: An angle measures 6° less than the measure of a complementary angle. What is the measure of each angle?

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Question 1131477: An angle measures 6° less than the measure of a complementary angle. What is the measure of each angle?
Found 3 solutions by Alan3354, MathLover1, josgarithmetic:
Answer by Alan3354(69443) About Me  (Show Source):
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Is it "a complementary angle?" If so, complementary to what other angle?
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or the complementary angle?

Answer by MathLover1(20850) About Me  (Show Source):
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complementary angles two angles whose sum is 90°
if one angle is alpha, a complementary angle will be beta
alpha%2Bbeta=90°

if angle alpha measures 6° less than the measure of a complementary angle,we have
alpha=beta-6
beta=alpha%2B6

and, we have
alpha%2Balpha%2B6=90
2alpha=90-6
2alpha=84
alpha=42

and, a complementary angle will be
beta=42%2B6
beta=48


Answer by josgarithmetic(39623) About Me  (Show Source):
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x, a complimentary angle
x-6, the angle which is the other complementary angle


x%2B%28x-6%29=90