Angle 1 and angle 2 are supplementary. If m angle 1=(3x-17) degrees and m angle 2 =(5x+21) degrees. Find the value of x.

Answer 1

Supplementary angles sum to 180°, so:

m angle 1 + m angle 2 = 180

3x - 17 + 5x + 21 = 180

Solve for x.

Answer 2

x = 22

Supplementary angles total 180 degrees

angle 1 + angle 2 = 180

(3x -17) + (5x + 21) = 180

3x - 17 + 5x + 21 = 180

Combine like ternms

8x + 4 = 180

Subtract 4 from both sides of the equation

8x = 180 - 4

8x = 176

Divide both sides of the equation by 8

x = 176/8

x = 22

Checking

3(22) -17 + 5(22) + 21 = 180

66 - 17 + 110 + 21

197 - 17 = 180

180 = 180

Answer 3

Supplementary angles have measures that add to 180°.

3x - 17 + 5x + 21 = 180

Can you solve for x and answer?