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## Answers

Construction :FA ║DR and FA = DR

Proof :

as FA ║DR and FA = DR ; DFAR is a parallelogram

∠1+∠2 = 180°____________(1)

as DR=EA and DR = FA

∴FA =EA

∴ΔFAE is an isosceles triangle

∠3=∠2

∠4+∠3 = 180° (linear pair)________(2)

from (1) and (2) we get

∠4+∠3=∠1+∠2

∠4=∠1 (as ∠3=∠2)

hence ∠D =∠E

**proved ......................**

**hope it helped :)**