Question

ΔPQR ≅ ΔABC, if PQ = 5 cm, ∠Q = 40° and ∠P = 80°, calculate the value of ∠C.​

Answer 1

Answer :

In ΔPQR,

∠R = 180 - 40 + 80

∠R = 180 - 120

∠R = 60.

As we know that, ΔPQR ≅ ΔABC

So,

∠R = ∠C

therefore, ∠C = 60°.

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Answer 2

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Step-by-step explanation:

In △PQR using angle sum property of triangle

∠P+∠Q+∠R=180

∘

80

∘

+40

∘

+∠R=180

∘

⇒∠R=180

∘

−120

∘

=60

∘

Now △PQR≅△ABC

As corresponding parts of congruent triangle are equal

∴AB=PQ=5cm and ∠C=60

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