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Which of the Following Pairs of Triangles Are Congruent? Give Reasons δAbc;(∠B = 70°,Bc = 6cm,∠C = 50°); δXyz;(∠Z = 60°,Xy = 6cm,∠X = 70°). - Mathematics

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Question

Which of the following pairs of triangles are congruent? Give reasons
ΔABC;(∠B = 70°,BC = 6cm,∠C = 50°);
ΔXYZ;(∠Z = 60°,XY = 6cm,∠X = 70°).

Sum

Solution



In ΔABC and ΔXYZ
∠B = ∠X
BC = XY
∠Y = 180° - (70° + 60°) = 50°
∠C = ∠Y
Therefore,
ΔABC ≅ ΔXYZ   ...(ASA criteria).

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Chapter 11: Triangles and their congruency - Exercise 11.2

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Frank Mathematics [English] Class 9 ICSE
Chapter 11 Triangles and their congruency
Exercise 11.2 | Q 1.4

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