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Question
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°
Solution
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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