Answer:
56 degrees
Step-by-step explanation:
The given diagram is a cyclic quadilateral
From the diagram;
m(angle in the same segment in a cyclic quadilateral are equal.
Hence m
Also, the triangle in the semicircle of a cyclic quadilateral is right angle. Hence triangle WYX is a rirght triangle and m
Since the sum of angle in a triangle is 180 degrees, then;
mSubstitute the given angles;
34 + 90 + m124 + mmmHence the measure of the arc is 56 degrees