MCQ
If the supplement of an angle is three times its complement, then angle is:
- A$40^\circ $
- B$35^\circ$
- C$50^\circ$
- ✓$45^\circ$
✓
Answer
Correct option: D.
$45^\circ$
Let the $\angle{\text{x}}$ be the required angle
Thus, according to the question
$180 - x = 3 (90 - x)$
$\Rightarrow 180 - x = 270 - 3x$
$\Rightarrow 2x = 90$
$\Rightarrow x = 45$
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