Question

Find the angle which exceeds its supplement by 44.

• A. ${100}^{\circ }$
• B. ${112}^{\circ }$
• C. ${101}^{\circ }$
• D. ${110}^{\circ }$

Answer 1

The correct option is B ${112}^{\circ }$

Let the angle be $x^{\circ }$

The supplement of $x^{\circ }$ is $(180-x{)}^{\circ }$

$\Rightarrow x=(180-x)+44$

$\Rightarrow 2x=180+44$

$\Rightarrow 2x=224$

$\Rightarrow x={112}^{\circ }$