Question

I don’t understand how I would solve this?

Answer 1

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.