Question

The supplement of an angle is 8 times as large as the angle.

Find the measure of the supplement.

• A. ${120}^{\circ }$
• B. ${160}^{\circ }$
• C. ${140}^{\circ }$
• D. ${170}^{\circ }$

Answer 1

The correct option is B

${160}^{\circ }$

Let the angle be $x^{\circ }$ and its supplement be $(180-x{)}^{\circ }$

$\Rightarrow (180-x)=8x$

$\Rightarrow 180=8x+x$

$\Rightarrow 9x=180$

$\Rightarrow x=20$

$\therefore Supplementofxis(180-20{)}^{\circ }={160}^{\circ }$