Two angles are supplementary. the larger angle is 48 degrees more than 10 times the smaller angle. find the measure of each angle.

Smaller angle = 12° and larger angle = 168°.

Step-by-step explanation:

It is given that the two angles are supplementary. It means their sum of 180°.

Let x be smaller angle.

The larger angle is 48 degrees more than 10 times the smaller angle.

Larger angle =

Since both angles are supplementary angles, so

Smaller angle + Larger angle = 180°

Combined line terms.

Subtract 48 from both sides.

Divide both sides by 11.

The value of x is 12. It means the smaller angle is 12°.

Larger angle =

Therefore the larger angle is 168°.