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Answer:
In △APO and △OQC
∠OAP=∠OCQ ( taking AC as transversal then angles are on opposites sides of transversal)
AP=CQ (given )
∠OPA=∠OQC ( taking PQ as transversal then angles are on opposites sides of transversal )
By ASA criterion of congruency triangle APO is congruent to triangle OQC.
PO=OQ,AO=OC ( Corresponding parts of a congruent triangle are equal )
Hence AC and PQ bisect each other.
Step-by-step explanation:
hope it's helpful army