Applying the inscribed angle theorem, the measure of arc XYZ is: 208°.
What is the Inscribed Angle Theorem?
According to the inscribed angle theorem, the measure of an intercepted arc equals twice the measure of the inscribed angle.
m∠XYZ = 76° [Inscribed angle]
Measure of arc XZ = 2(76) = 152° [inscribed angle theorem]
Measure of arc XYZ = 360 - 152
Measure of arc XYZ = 208°
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