CAT 2021 Geometry & Mensuration Question (Hard)

Question

In a triangle ABC , BCA 50 . D and E are points on AB and AC, respectively, such that AD DE. If F is a point on BC such that BD DF, then FDE, in degrees, is equal to

Accepted Answer

Step 1 We are given - In triangle ABC, angle BCA 50 - Points D and E lie on AB and AC respectively, such that AD DE - Point F lies on BC such that BD DF We are asked to find FDE Step 2 Let s analyze triangle ADE Given AD DE So, triangle ADE is isosceles with base AE ADE DEA Also, consider triangle B

CAT 2021

Quantitative

Geometry & Mensuration

Hard

In a triangle ABC , ∠ BCA =50°. D and E are points on AB and AC, respectively, such that AD = DE. If F is a point on BC such that BD = DF, then ∠ FDE, in degrees, is equal to

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