Question

two supplementary angles differ by 48.find the anges​

Answer 1

Answer:

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

Step-by-step explanation:

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 variable terms

2 x + 48 = 180

Subtract 48 from both sides

2 x = 132

Divide both sides by 2

2 x 2 = 132

2 x = 66

This is the measure of the smaller angle.

The bigger angle =  x + 48 = 114