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Question -

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
(a) 45┬░
(b) 30┬░
(c) 36┬░
(d) none of these



Answer -

Let first angle = x
Then its complementary angle = 90┬░ тАУ x
тИ┤ 2x = 3(90┬░ тАУ x)
тЗТ 2x = 270┬░ тАУ 3x
тЗТ 2x + 3x = 270┬░
тЗТ 5x = 270┬░
тЗТ x == 54┬░
тИ┤ second angle = 90┬░ тАУ 54┬░ = 36┬░
тИ┤ smaller angle = 36┬░ (c)

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