Answer:
<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
