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

Supplementary angles are two angles that add up to 180°.

STEP 1:
find the value of x

x= smaller angle
10x + 48= larger angle

Add the two angles above to equal 180.

x + (10x + 48)= 180
combine like terms

11x + 48= 180
subtract 48 from both sides

11x= 132
divide both sides by 11

x= 12° smaller angle

STEP 2:
find the value of the second angle

=10x + 48
=10(12) + 48
=120 + 48
=168° larger angle

CHECK:
12° + 168°= 180°
180°= 180°

ANSWER: The smaller angle is 12° and the larger angle is 168°.

Hope this helps! :)