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.

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