In quadrilateral

MATHEMATICS · Multi-part · CBSE · Mathematics · Quadrilaterals · Quadrilaterals

Problem

In quadrilateral EFGHEFGH, it is given that ∠E=115∘\angle E = 115^\circ, ∠F=65∘\angle F = 65^\circ, ∠G=115∘\angle G = 115^\circ, and ∠H=65∘\angle H = 65^\circ. A diagonal EHEH is drawn. (i) Show that opposite angles of EFGHEFGH are equal and hence prove that EFGHEFGH is a parallelogram. (ii) Calculate ∠FEH\angle FEH.

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