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State whether the following triangles are similar or not: If yes, then write the test of similarity. ∠P = 35°, ∠X = 35° and ∠Q = 60°, ∠Y = 60° - Geometry Mathematics 2

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प्रश्न

State whether the following triangles are similar or not: If yes, then write the test of similarity.

∠P = 35°, ∠X = 35° and ∠Q = 60°, ∠Y = 60°

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उत्तर

In ΔPQR and ΔXYZ,

∠P = 35°, ∠X = 35°, ∠Q = 60° and ∠Y = 60°   ......[Given]

∴ ∠P ≅ ∠X and ∠Q ≅ ∠Y  

∴ ΔPQR ~ ΔXYZ        ...[AA test of similarity]

∴ The triangles in the figure are similar by AA test of similarity.

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अध्याय 1: Similarity - Q.1 (B)
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