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°

Answer 1

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.