Question : If the complement of an angle is one-fourth of its supplementary angle, then the angle is:
Option 1: 60°
Option 2: 30°
Option 3: 90°
Option 4: 120°
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Correct Answer: 60°
Solution :
Let $x$ be the angle.
The complement of the angle is $(90°-x)$.
The supplement of the angle is $(180°-x)$.
According to the question,
$(90-x)=\frac{1}{4}(180-x)$
⇒ $360-4x=180-x$
⇒ $3x=180$
$\therefore x = 60°$
Hence, the correct answer is 60°.
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