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How can I use deductive reasoning to show that



How can I use deductive reasoning to show that-example-1

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In\text{ }\Delta PQS\text{ and }\Delta RQS


\bar{PQ}\cong\bar{RQ}
\angle PQS=\angle RQS\text{ (since QS bisects }\angle PQR)
\bar{QS}=\bar{QS}\text{ (common)}

Therefore,


\Delta PQS\cong\Delta RQS\text{ (SAS congruence rule.)}

So,


\angle P\cong\angle R

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