Question

Please need help asap!!

Answer 1

Draw a line from Y through the center of the circle to the opposite edge. Label the opposite edge T. ZYT = 90o. That's a property of a tangent line and a diameter touching the tangent point.

ZYX = 60o Given

TYX + ZYX = 90o Property of a diameter and circles. That's

TYX = 90 - 60

TYX = 30.

The arc measurement between T and X = 60o Property of a central angle and an angle whose vertex is on the circumference sharing the same endpoints of chord are related by a ratio of 2:1.

The rest of the arc = 120o. The rest of the arc is 180 - 60 = 120. The rest of the arc is XYZ which is 120o

Arc XYZ is bisected by YW. Therefore Arc XW = 120/2 = 60

The answer is A.