Plz help me do this branniest to whoever right

<1 = 114° and <2 = 66°

Step-by-step explanation:

The two angles measure 66 degrees and 114 degrees because the sum of supplementary angles is 180 degrees.

Explanation:

Supplementary angles are two angles with a sum of 180 degrees.

Let the smaller angle = x

If the two angles differ by 48 degrees, the bigger angle is 48 degrees more and equals

x+48

.

The sum of the two angles is 180, so...

x+x+48=180

Add the variableterms

2x+48=180

Subtract 48 from both sides

2x=132

Divide both sides by 2

2x/2=132/2

x=66

This is the measure of the smaller angle.

The bigger angle = x+48=114