Two angles are supplementary. The measure of one angle is (-3x + 10) degrees. The other angle measures (50 - x) degrees. What is the value of x?

Answer 1

Since the two angles are supplementary, their measures add up to 180 degrees.

Therefore, we can set up the following equation:

(-3x + 10) + (50 - x) = 180

Simplify the equation:

-3x + 10 + 50 - x = 180
-4x + 60 = 180
-4x = 120
x = -30

Therefore, the value of x is -30.