High School

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What angles must be congruent to QPS?

What angles must be congruent to QPS

Answer :

angle qts and angle rps

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Rewritten by : Barada

Answer:

QTS & TQS

Step-by-step explanation:

so as PQ=QT is given & QS is an common side, you can take the triangle PQS & TQS as isosceles triangles.

so then the angles PSQ=QST becoz the angles opposite to equal sides of an isosceles triangle are also equal in measures.

PQ=QT (given)

QS = common side

PSQ=QST (the angles opposite to equal sides of an isosceles triangle are also equal in measures.)

Therefore PQS is congruent to QTS (S.S.A)