Question

∆ PQR ≅ ∆ ABC if PQ =5 cm, ∠Q = 40° and ∠P = 80° Then which of the following is true

Answer 1

Answer:

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∘

Step-by-step explanation:

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Answer 2

Answer:

C = 50

Step-by-step explanation:

Triangle ABC = triangle pqr

angle A = angle P = 90

angle B = angle Q = 40 ( by cpct as they are congruent)

angle A + angle B +angle C = 180

90 +40 + x = 180

130 + x = 180

x = 50

hence angle C = 50