Answer:
1st: 116°
2nd: 64°
Step-by-step explanation:
Supplementary angles add up to 180 degrees. We can make the first supplementary angle be represented by: 2x - 12 and the second supp. angle be represented by x.
Make both of these expressions add up to 180.
(2x - 12) + (x) = 180
Combine like terms.
3x - 12 = 180
Add 12 to both sides.
3x = 192
Divide both sides by 3.
x = 64
Substitute 64 for x into the first supp. angle's expression.
2(64) - 12 = 116
The first supp. angle is 116 degrees and the second is 64 degrees.
