Question

If the measure of angle one is "two-x minus nine" and the measure of angle two is "twenty seven minus four-x ", solve for x.

Answer 1

angle 1 = 2x - 9
angle 2 = 27 - 4x

If the two angles are congruent, this means that they both have the same angle though each faces a different direction.

angle 1 = angle 2
2x - 9 = 27 -4x
2x + 4x = 27 + 9
6x         = 36
6x / 6    = 36 / 6
         x = 6

angle 1 = 2x - 9 = 2(6) - 9 = 12 - 9 = 3
angle 2 = 27 - 4x = 27 - 4(6) = 27 - 24 = 3