In , point is taken on side such that is drawn. The following measurements are given:…

MATHEMATICS · Subjective · CBSE · Mathematics · Triangles · Triangles

Problem

In △ABC\triangle ABC, point DD is taken on side BCBC such that ADAD is drawn. The following measurements are given: ∠BAD=35∘\angle BAD = 35^\circ, ∠CAD=25∘\angle CAD = 25^\circ, and ∠ACB=60∘\angle ACB = 60^\circ. (i) Find ∠ABC\angle ABC. (ii) Show that △ABC\triangle ABC is isosceles and state which sides are equal, giving complete reasons for each step of your proof.

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