MCQ
Two angles are complementary. If the larger angle is twice the measure of a smaller angle, then smaller is _____.
- ✓$30^\circ $
- B$45^\circ$
- C$60^\circ$
- D$15^\circ$
Let, $\alpha$ be the larger angle and \beta be the smaller angle.
if, two angles are complementary then their sum is equal to $90^\circ $
So, $\alpha+\beta=90^\circ....(1)$
According to question, $\alpha=2\beta.....(2)$
So, $2\beta+\beta=90^\circ ($from eqn$(1)$ and eqn $(2))$ or, $3\beta=90^\circ$ or $\beta=30^\circ.$
Therefore, the smaller angle $= 30^\circ $
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