We know that AB and CD are parallel. This allows many assumptions. From that we know that angle A and angle D are congruent. That means that x + 8 = 2x - 22 and we can solve for x x + 8 = 2x - 22 x + 30 = 2x 30 = x or x = 30
We know from the figure that angle B is x or now that we solved for x is 30 degrees. Also, we know that both angle A and angle D are 38 degrees. Now we can solve for the vertical angle E which has a measure of y degrees. A triangle has the sum of its angles equal to 180 degrees.
We can set up an equation like this 30 + 38 + y = 180 30 + 38 + y = 180 68 + y = 180 y = 112 degrees
