The supplementary angles measure (2x + 10) and (x + 20) degrees. What is the value of x?

The supplementary angles measure (2x + 10) and (x + 20) degrees. What is the value of x?

Explanation

Supplementary angles sum to 180 degrees:

(2x + 10) + (x + 20) = 180

Combine like terms:

3x + 30 = 180

Subtract 30:

3x = 150

Divide by 3:

x = 50