# Two complementary angles are such that twice the measure of the one is equal to three times the measure of the other. The larger of the two measuresA. 72°B. 54°C. 63°D. 36°

As we know that sum of two complementary – angles is 90o.

So, x + y = 90o

Let x be the common multiple.

According to question angles would be 2x and 3x.

2x + 3x= 90

5x = 90o

x = 18o

2x = 36o

3x = 54o

So, larger angle is 54o

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