In the given diagram, the measure of central angle XYZ is 80°
Measure of central angle in a Circle
From the question, we are to determine the measure of central angle XYZ
In the given diagram, the measure of central angle XYZ is the sum of the angle measures of minor arc XP and minor arc PZ
That is,
Measure of central angle XYZ = ∠ measure of minor arc XP + ∠ measure of minor arc PZ
∴ Measure of central angle XYZ = 30° + 50°
Measure of central angle XYZ = 80°
Hence, the measure of central angle XYZ is 80°
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