Question

Find the angle which is $5^o$ more than four times its supplement

• A. ${130}^o$
• B. ${135}^o$
• C. ${145}^o$
• D. ${150}^o$

Answer 1

The correct option is C ${145}^o$

Let the angle be $x$.

Then its supplementary angle be $({180}^o-x)$.

Then by the problem,

$x=4({180}^o-x)+5^o$

or, $5x={725}^o$

or, $x={145}^o$.

The required angle be ${145}^o$.