Find the angle which measure twice of its supplement. - Vidyadip

MCQ

Find the angle which measure twice of its supplement.

A
$100$
B
$110$
✓
$120$
D
$130$

✓

Answer

Correct option: C.

$120$

Let the required angle be $x,$ then its supplement $= (180 - x)$ and $x = 2(180 - x)$
So, $(180 - x) + 2(180 - x) = 180$
$\Rightarrow 180 - x + 360 - 2x = 180$
$\Rightarrow -3x + 360 = 0$
$\Rightarrow -3x = -360$
$\Rightarrow 3x = 360$
$\Rightarrow x = 120^\circ $

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