ΔABC and ΔPQR are respectively congruent. If AB = 8 = PQ, BC = 10 = QR, and ∠B = 35° then what is the value of ∠P + ∠C?
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Correct answer: A
Explanation
The correct answer is option 1 i.e. 140.
ΔABC and ΔPQR are respectively congruent
∠A + ∠B + ∠C = 180°
⇒ ∠A + 35° + ∠C = 180°
⇒ ∠A + ∠C = 180° - 35° = 45°
ΔABC and ΔPQR are congruent,
So, ∠B = ∠Q = 35°
∠A = ∠P
∠C = ∠Q
∠A + ∠C = ∠P + ∠Q = 145°