Question

The measure of an angle which is 5 times its supplement is

• A. ${30}^o$
• B. ${60}^o$
• C. ${120}^o$
• D. ${150}^o$

Answer 1

The correct option is D ${150}^o$

According to the problem,

The measure of an angle which is 5 times its supplement.

Supplementary angles means, sum of angles is ${180}^o$

$⟹x=5({180}^o-x)$

$⟹x=5\times {180}^o-5x$

$⟹6x=5\times {180}^o$

$⟹x=5\times {30}^o={150}^o$

Hence, $x={150}^o$