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Step-by-step explanation:
in triangle OAP and triangle OBQ,
angle AOP = angle QOB ( vertically opposite angle )
AO = OB ( as o is the midpoint of AB )
angle BQO = angle APO ( given )
therefore triangle OAP congruence Triangle OBQ by asa congruence condition.
therefore angle oap = angle OBQ. by cpct.
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