In the figure, if angleCAB = 60°, find the measure of of angleCPB
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Buy definition of Central angle. angle C A B = measure arc C A B equals to 60 degrees therefore measure arc CP B equals to 60 degrees. the measure of inscribed angle is always half of the measure of intercepted arc,hence measure angle cob=half ×60°=30°.By property of cyclic quadrilateral angle cob+angle cpb =180°. 30°+angle CPB=180°. angle CPB=180°-30°=150°
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