Question

In the adjoining figure, PO = QO = 3cm, angle R = 45°, angle POR = 75°, and angle Q = 60°. Prove the following :

a) ∆PQR is congruent to ∆QSO
b) PR = SQ ​

Answer 1

Answer:

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Step-by-step explanation:

OP=OQ(Given)

angle PRO=angle OSQ=45° (angles opposite to equal sides)

angle POR=angleSOQ(vertically opposite angles)

IN TRIANGLE OQR and TRIANGLE QSO

OP=OQ(Given)

anglePRO=QSO

anglePOR=SOQ

a)TRIANGLE OQR is congruent to TRIANGLE QSO

b)PR=SQ(CPCT)