Answer:
y = 2
Step-by-step explanation:
Observe that triangle PQR has one of its sides on the diametre of circle M: side PQ.
One of the properties of triangles inscribed in circles with one side on the diametre is that the angle opposite this side is always 90 degrees.
In this case, the angle opposite is ∠PRQ, which is also given in the expression 53y - 16. Then set this equal to 90:
53y - 16 = 90
53y = 106
y = 106/53 = 2
Thus, y = 2.
