Question

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

Answer 1

Answer:

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 = $10x+48$

Since both angles are supplementary angles, so

Smaller angle + Larger angle = 180°

$x+(10x+48)=180$

$x+10x+48=180$

Combined line terms.

$11x+48=180$

Subtract 48 from both sides.

$11x=180-48$

$11x=132$

Divide both sides by 11.

$x=12$

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

Larger angle = $10x+48=10(12)+48=120+48=168$

Therefore the larger angle is 168°.

Answer 2

The angles are 12 degrees and 168 degrees.