Question

In the given figure, ∠ABC = 75°, ∠EDC = 75° state which two triangles are similar and by which test? Also write the similarity of these two triangles by a proper one to one correspondence.

Answer 1

∠ABC = 75°, ∠EDC = 75°    ...(Given)

In △DCE and △BCA

∠CDE ≅ ∠CBA    ...(Each measures 75°)

∠DCE ≅ ∠BCA   ...(Common angle)

△DCE ∼ △BCA    ...(AA test of similarity)