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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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Answer (1)
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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