triangle abc and triangle pqr in which ab= pq and the angles at a, b, p and r are respectively 40°, 60°, 40° and 80°. prove that the two triangles are congruent.
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Step-by-step explanation:
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Answer:
In ΔABC and ΔPQR
AB = PQ
And BC = QR
CB And RQ extended to X and Y
∠ABX = ∠PQY
∠ABC = 180° − ∠ABX = 180°∠PQY
∠PQR = 180° −∠PQY =∠ABC
We get in both triangles
AB = PQ
BC = QR
And ∠ABC =∠PQR
Then both triangle are congruent
i.e. ΔABC = ΔPQR
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