06/19/2020 (2011: Countdown Round, Problem 5)

Q: The ratio of the measures of two supplementary angles is 1: 4. What is the degree measure of the complement of the smaller angle?

A: 54
The measure of the smaller angle is 180 ÷ (1 + 4) = 36. That means its complement is 90 - 36 = 54.

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