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.

2x+23+4x+46=180

6x+69=180

6x=180-69

6x=111

x=111/6

x=18.5

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