Answer: The larger angle is 106° and the smaller angle is 74°
Step-by-step explanation:
Supplementary angles add up to 180 degrees and using the statements we can write the equation for the large angle as L = s + 32 where L is the large angle and s is the small angles.
L is s + 32 and plus the small angle will equal to 180 degrees so combine them and solve for the small angle.
s + (s+32) = 180
2s + 32 = 180
-32 -32
2s = 148
s = 74
So the small angle is 74 and the larger angle has to be 32 more than it so 32 + 74 = 106
