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Two angles are complementary.The larger Angle is 9 less than twice the smaller angle.find the measure of the two angles.
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Two angles are complementary.The larger Angle is 9 less than twice the smaller angle.find the measure of the two angles.
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Two angles are complementary.The larger Angle is 9 less than twice the smaller angle.find the measure of the two angles. Answer by ikleyn(52782) (Show Source):
Let x be the measure of the smaller angle.
Then the measure of the larger angle is 2x-9 degrees.
The sum of the measures is 90 degrees, since the angles are complementary.
x + (2x-9) = 90 degrees.
Simplify and find x
3x = 90 + 9
3x = 99
x = 99/3 = 33.
ANSWER. The smaller angle is 33 degrees.
The larger angle is 2*33-9 = 57 degrees.