Answer:
measure of angle XZY = 52 degrees
Step-by-step explanation:
The sum of measure of angles of a circle is 360 degrees.
therefore, m(arc XY) = 360 - (110 + 146)
m(arc XY) = 360 - 256
= 104 degrees
angle XZY is an inscribed angle.
By the inscribed angle theorem, the measure of an inscribed angle is half the measure of the intercepted arc.
So, m( angle XZY) = 1/2 * 104
= 52 degrees.
