Mathematics

Mathematics

Problem

△XYZ\triangle XYZ is right-angled at YY. The acute angle at XX is 28∘28^{\circ}. Side YZYZ is produced beyond ZZ to a point WW. a. (i) Find ∠XZY\angle XZY. b. (ii) Determine the exterior angle ∠XYZW\angle XYZW. c. (iii) Show, by direct calculation, that the value obtained in part (ii) equals the sum of the two interior opposite angles of △XYZ\triangle XYZ. State those two angles clearly.

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