Question

An angle measures 120°less than the measure if its supplementary angle. What is the measure of each angle

Answer 1

30 and 150

Step-by-step explanation:

The first angle is 30 degrees. The second angle is 150 degrees. Here's why:

Step-by-step explanation:

The first angle will be expressed as x. Since the second angle is 120

degrees greater than the first, it will be expressed as (x+120). Because they're supplementary, they'll add up to

180: x+(x+120)=180

Combine like terms.

2x+120=180

Subtract 120 from both sides.

2x=60

Divide by 2 to isolate for x.

x=30

Plug your data back in:

30 + (30 + 120) = 180

First angle: 30 degrees

Second angle: 150 degrees

Answer 2

Answer: 60°

Step-by-step explanation: 180 - 120 = 60.