Question : An angle $\frac{1}{3}$rd of its supplementary angle. Find the measure of the angle.
Option 1: 45°
Option 2: 90°
Option 3: 135°
Option 4: 22.5°
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Correct Answer: 45°
Solution : Let $x$ be the angle. The supplement of the angle is $(180°-x)$. According to the question, $\frac{1}{3}(180°-x)=x$ ⇒ $180°-x=3x$ ⇒ $4x=180°$ $\therefore x =45°$ Hence, the correct answer is 45°.
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