Explanation:
When two straight lines intersect, they form 4 angles around the point. It can be seen that there are two angles in terms of x on a straight line, which sum up to 180 degrees. Therefore:
3y + y + 88 = 180 and 6x + 35 + 8x - 23 = 180.
Solving for x and y gives:
4y = 92 and 14x = 168.
y = 23 and x = 12.
Substituting the values back in the expression gives the angles:
XAW = 3(23) = 69 degrees.
WAY = 23 + 88 = 111 degrees.
ZAY = 8(12) - 23 = 73 degrees.
XAZ = 6(12) + 35 = 107 degrees.
The problem in this question is that whenever straight lines intersect, they form the vertical opposite angles. The vertical opposite angles are equal. In this question, angle XAW = angle ZAY and angle WAY = angle XAZ. However, in this question, these angles are not equal. (69 is not equal to 73 and 111 is not equal to 107). Hence, this is the problem in the question!!!