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.
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