Question

Angle A measures (2x + 23)°. Angle B is supplementary to angle A and measures (4x + 46)°. Write and solve an equation to find the value of x.

Answer 1

2x+23+4x+46=180
6x+69=180
6x=180-69
6x=111
x=111/6
x=18.5

Answer 2

Supplementary angles add up to 180 degrees.

2x + 23 + 4x + 46 = 180

Combine like terms:

2x + 4x = 6x
23 + 46 = 69

6x + 69 = 180

Subtract 69 to both sides:

6x = 111

Divide 6 to both sides:

x = 18.5