Question 498920
Two angles are complementary if their sum is 90degrees.  The larger angle measures three degrees less than twice the measure of a smaller angle.  If x represents the measure of the smaller angle and these two angles are complementary, find the measure of each angle.
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Let x = the smaller angle
Then 90 - x = the larger angle
Given: the larger angle is 3 less than twice the smaller
90 - x = 2x - 3
Solve for x:
3x = 93
x = 31
So the smaller angle = 31 deg
The larger angle = 90 - 29 = 59 deg