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Question

Two complementary angles are such that twice the measure of the one is equal to the three times the measure of the other .the larger of the two measures

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Solution

Complementary angles of the angles whose sum is equal to 90 degree
Let the measure of the angle be 2x and 3x
So 2X + 3 x is equal to 90
5x=90
X=90÷5
X=18
So angles are.
2×x=2×18=36°
3×x=3×18=54°
So the measure of the larger angle is 54 degree
hope it helps

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