MATHEMATICS · Multi-part · GCSE · Mathematics · Geometry and Measures · Geometry and Measures
Problem
On the same side of line segment BC, two triangles △ABC and △DBC are constructed such that AB=AC and DB=DC. The vertices A and D are joined.
(i) Prove that AD is perpendicular to BC.
(ii) If ∠ABC=50∘, determine ∠BAD.