Answer: Z = 65
Step-by-step explanation:
An inscribed angle is equal to 1/2 the circumference of the part of the circle across from it. Since we are given angle 50, we know the part of the circle’s circumference across from it equals 100. We also know a whole circle’s circumference is equal to 360. Let’s take 360-100 and see the remaining parts of the circumference is equal to 260. Since the two parts left of the circumference are labeled as x, we know they are equal. So, 260/2 = 130.
X=130. Notice that X is directly across from inscribed angle Z. This means Z = 1/2 X.
Z= 130/2
Z= 65
