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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.
Solution
∠ABC = 75°, ∠EDC = 75° ...(Given)
In △DCE and △BCA
∠CDE ≅ ∠CBA ...(Each measures 75°)
∠DCE ≅ ∠BCA ...(Common angle)
△DCE ∼ △BCA ...(AA test of similarity)
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