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If ∆ ABC ≅ ∆ PQR, then which of the following is not true?
(a) AC = PR (b) BC = PQ (c) QR = BC (d) AB = PQ
In triangle ABC, if AB=BC and ∠B = 70°, ∠A will be:
a. 70° b. 110° c. 55° d. 130°
Using, OP || RS, we know that,
SRW+RWV=180° (Co Interior Angles)
∠RWV = 180°- 130°
Hence, ∠RWV = 50°
Since opposite angles of intersecting lines are equal,
∠PWQ = ∠RWV = 50°
For line OP
∠OQP + θ = 180° [Straight angle]
θ = 180° – ∠OPQ = 180° − 110°
θ = 70°
Now, by using the fact, that the sum of interior angles of a triangle is 180°, we can write
∠PQR + θ + ∠PWQ = 180°
∠PQR = 180°- θ – ∠PWQ = 180°- 70°- 50°
∠PQR = 180° − 120°
∠PQR = 60°
Hence, ∠PQR is equal to 60°.
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