Question

measure 1 and measure 2 are supplementary. if measure 1 equals (3x - 17) degrees in measure angle two equals (5x + 21) degrees find the value of x​

Answer 1

x = 23 degrees

Explanation:

Supplementary angles add up to 180 degrees. Thus, 3x - 17 degrees plus al 5x + 21 deg must equal 180 degrees.

Combining like terms, we get 8x - 4 = 180, or 8x = 184.

Dividing both sides by 8 yields x = 184/8 = 23 = x (measured in degrees)