Answer:
y = 28 degrees
Explanation:
First thing: find the value of x. Note that the 34 degree angle and the angle x - 5 are equal because this is an isosceles triangle. Thus, 34 = x - 5, and so x = 39.
Second: the three interior angles must add up to 180 degrees.
Thus, 34 + 39 -5 + 4y = 180.
From this we get:
4y = 180 - 34 - 39 + 5, or
4y = 112.
Therefore, y must be 112/4, or 28.