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Problem 14 - Entrance Test

Two complementary angles are in the ratio 2:3. What is the measure of the smaller angle?

Correct: B

Complementary angles add up to 90 degrees. Let the angles be 2x and 3x. So, 2x + 3x = 90, which means 5x = 90. Therefore, x = 18. The smaller angle is 2x = 2(18) = 36 degrees.