Question

The supplementary angle of an angle is three times of its complementary angle then the angle is

Answer 1

Let the required angle be x

∴Supplement of x=(180°-x)

Complement of x=(90°-x)

∴3*Complement of x=3(90°-x)

According to question;

Supplement of  x=3*Complement of x

∴(180°-x)=3(90°-x)

180°-x=270°-3x

-x+3x=270°-180°

2x=90°

x=45°