Question

triangle PQR congruent to triangle ABC IF PQ =5CM, ANGLE Q =40, ANGLE P =90, calculate the value of angle c.

Answer 1

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

Answer 2

Step-by-step explanation:

In △PQR using angle sum property of triangle

∠P+∠Q+∠R=180

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80

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+40

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+∠R=180

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⇒∠R=180

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−120

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=60

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Now △PQR≅△ABC

As corresponding parts of congruent triangle are equal

∴AB=PQ=5cm and ∠C=60

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