Question

Find the angle whose supplement is 4 times its complement

Answer 1

Solution) Let one angle be X The other angle = 180°-x supplement 90°-x = complement 180°-x = 4*(90°-x) supplement is four times its complement 180°-x = 360°-4x 3x=360°-180° 3x=180° X=60°

Answer 2

Answer:

Angle = 60°

Step-by-step explanation:

Find the angle whose supplement is 4 times its complement

Let say Angle  = X°

Supplement angle = 180° - X°

Complement Angle = 90° - X°

supplement is 4 times its complement

=> 180° - X°  =  4 * (90° - X°)

=> 180° - X°  =  360° - 4X°

=> 3X°  =  180°

=> X°  =  60°

Angle = 60°