MATHEMATICS · Multi-part · GCSE · Mathematics · Geometry and Measures · Geometry and Measures
Problem
△XYZ is right-angled at Y. The acute angle at X is 28∘. Side YZ is produced beyond Z to a point W.
(i) Find ∠XZY.
(ii) Determine the exterior angle ∠XYZW.
(iii) Show, by direct calculation, that the value obtained in part (ii) equals the sum of the two interior opposite angles of △XYZ. State those two angles clearly.