Question

Find the measure of an angle, if seven times its complement is ${10}^{\circ }$ less than three times its supplement

• A. ${40}^{\circ }$
• B. ${25}^{\circ }$
• C. ${30}^{\circ }$
• D. ${15}^{\circ }$

Answer 1

Answer: (B)

${25}^{\circ }$

Let angle $=x$
Complement of angle $=90-x$
Supplement of angle $=180-x$
From question
$7({90}^{\circ }-x)=3({180}^{\circ }-x)-10$
$4x=100$
$x={25}^{\circ }$