What you have here is the fibonacci sequence. Each number in the sequence adds itself to the number before it. 1+1 = 2 1+2 = 3 3+2 = 5 5+3 = 8 8+5 = 13 the sequence is 0,1,1,2,3,5,8,13
Because the angle with measure 69 degrees and angle x are alternate interior angles, they have equal value. Therefore, x has measure 69 degrees. Because this figure is a trapezoid, angle y is supplementary to the angle with measure 111 degrees. Therefore, y=180-111=69 degrees as well. Hope this helps!