Answer :
Final answer:
Two angles are supplementary, meaning they add up to 180 degrees. One angle is three times larger than the other. By putting these facts into an equation and solving it, we find that the smaller angle measures 45 degrees.
Explanation:
In mathematics, supplementary angles are angles whose degrees add up to 180°. According to the given question, one angle is three times as big as the other. Let's denote the smaller angle as x. Then the larger angle would be three times that, or 3x. Because these are supplementary angles, their degrees add up to 180, so if we represent this relationship into an equation, we get x + 3x = 180, which simplifies to 4x = 180. Upon solving this equation, we can have the value of x equals to 180 ÷ 4 which gives 45 degrees. It means the smaller angle is 45 degrees. Therefore, the correct answer is 45 degrees.
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