Question #14465

two angles are complementary. the measure of one angle is 21 more than twice the measure of the other angle. find the measure of the angles.

Expert's answer

Sum of complementary angles is 90

Let measure of the second angle is x. Then measure of the first is 2x+21

So

2x+21+x=90

3x=90-21

x=69/3=23 - second angle

first 23*2+21=67

Let measure of the second angle is x. Then measure of the first is 2x+21

So

2x+21+x=90

3x=90-21

x=69/3=23 - second angle

first 23*2+21=67

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