Q2 of 115 Page 8

Two complementary angles are such that two times the measure of one is equal to three times the measure of the other. The measure of the smaller angle is

Let x and (90o – x) be two complimentary angles

According to question,


2x = 3 (90o – x)


2x = 270o – 3x


x = 54o


The angles are:


54o and 90o – 54o = 36o


Thus, smallest angle is 36o

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