SOLUTION: 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

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.
Not sure if this is what it would start of like: x(2x-3)=90 or x+(2x-3)=90
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
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
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