To find the measure of angle ZWX, we need to first find the measure of central angle ZRX.
Since WZ and XR are diameters, angle ZRX is a semicircle, which measures 180 degrees. Therefore, angle ZRX = 180 degrees.
Angle ZWX is an inscribed angle that intercepts the same arc ZRX. The measure of an inscribed angle is half of the measure of the intercepted arc. Therefore, angle ZWX = 180 degrees / 2 = 90 degrees.
Therefore, the measure of ZWX is 90 degrees.
WZ and XR are diameters of circle C. The diagram is not drawn to scale.
Z
94°
X
48°
R
W
What is the measure of ZWX?
318°
277°
221°
42°
1 answer