MCQ
Two supplementary angles differ by $48^\circ .$ Find the angles.
- A$36^\circ , 84^\circ$
- B$46^\circ , 94^\circ$
- C$56^\circ , 104^\circ$
- ✓$66^\circ , 114^\circ$
✓
Answer
Correct option: D.
$66^\circ , 114^\circ$
Supplementary angles add up to form $180$
Let one angle be $x$ and other be $180 - x$
Hence, $x - (180 − x) = 48 ....($Given$)$
$⇒ x - 180 + x = 48$
$⇒ 2x = 48 + 180 = 228$
$\Rightarrow\text{x}=\frac{288}{2}=114$
Hence, other angle $= 180 - x = 180 - 114 = 66$
Two angles are $114$ and $66.$
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