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From the following diagram, which of the following option is true?

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$∠ A = ∠ R, ∠ B = ∠ Q, ∠ C = ∠ P$

$∠ A = ∠ P, ∠ B = ∠ Q, ∠ C = ∠ R$

$∠ A = ∠ R, ∠ B = ∠ P, ∠ C = ∠ Q$

$∠ A = ∠ Q, ∠ B = ∠ R, ∠ C = ∠ P$

answer is C.

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Detailed Solution

As we can see that AB = PQ, BC = QR, and CA = RP, according to the SSS rule.

ΔABC and PQR are congruent and hence angles of ΔABC are equal to the corresponding angles of ΔPQR.
Therefore, ∠A = ∠P, ∠B = Q, ∠C = ∠R.

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