Find the measure of two supplementary angles if the measure of the larger angle is 32 more than the measure of the smaller angle.

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