Question

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Answer 1

Step-by-step explanation:

given :-

angle PQR= angle PRQ

to be prove :-

angle PQS= Angle PRT

angle P + angle PRQ= angle PQS ( by the rule )

equation -1

and

angle p + angle PQR= angle PRT ( by the rule)

equation-2

equating the both equations

PRQ-PQR= PQS-PRT

PRT=PQS

because PRQ= PQR so they will be cancel

hence this is proved

The exterior angle theorem states that when a triangle's side is extended, the resultant exterior angle formed is equal to the sum of the measures of the two opposite interior angles of the triangle.