MCQ
Find the angle, which is $60^\circ $ more than its complement.
- A$55$
- ✓$75$
- C$85$
- D$60$
✓
Answer
Correct option: B.
$75$
Let the required angle be $x,$
then its complement $= (90 - x)$
Given that $x = (90 - x) + 60$
$\Rightarrow 2x = 150$
$\Rightarrow \text{x}=\frac{150}{2}$
$\Rightarrow\text{x}=75^\circ$
then its complement $= (90 - x)$
Given that $x = (90 - x) + 60$
$\Rightarrow 2x = 150$
$\Rightarrow \text{x}=\frac{150}{2}$
$\Rightarrow\text{x}=75^\circ$
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