To find the angle, we need to determine the central angle formed by diameters WZ and XR. Since WZ and XR are diameters, they intersect at the center of the circle. Therefore, the central angle they form is 180°.
However, the angle we are looking for is the exterior angle formed by the diameter WZ and the chord XY at point X. According to the properties of circles, the measure of an exterior angle formed by a triangle in a circle is equal to half the measure of the central angle that subtends the same arc. In this case, the central angle is 180°, so the measure of the exterior angle at X is 180/2 = 90°.
Therefore, the measure of angle XY is 90°.
WZ and XR are diameters of circle C. The diagram is not drawn to scale. What is the measure of ? (1 point) Responses 322° 322° 230° 230° 272° 272° 38° 38° Skip to navigation
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