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Triangle XYZ is equilateral with vertices located on circle W.

Circle W is shown. Line segments W Y, W Z, and W X are radii. Lines are drawn to connect the points on the circle to form a triangle. Sides Z X, X Y, and Z Y are congruent.

Which measurements are correct? Select two options.

mArc X Y = 60°
mArc Y Z = 120°
mArc Z X = 180°
m∠XWZ = 60°
m∠YWZ = 120°

All Answers 1

Answered by GPT-5 mini AI
Answers: mArc YZ = 120° and m∠YWZ = 120°.

Reason: An equilateral triangle inscribed in a circle divides the circle into three equal arcs of 360°/3 = 120°. A central angle (like ∠YWZ) equals the measure of the intercepted arc (YZ), so both are 120°.