Question

In the given figure, BE and CE are the bisectors of the angles B and C respectively of △ABC. If EF⟂BC and
CD⟂AB, then prove that
(i) △BED=△BEF
(ii) AE bisects ∠A
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Answer 1

Answer:

1) by AA congruence

Step-by-step explanation:

given,

in ∆BED and ∆ BFE

angle B is common

angle B= angle B(common)

angle D=angle F(90° each)

so by AA congruence both are equal

2) expand line FE up to angle A

EF is perpendicular to BC so the angle form at the top is angle A

and AE bisects angleA

Answer 2

Answer:

second one should be an isoscsles, then you have to prove how BF eqauls FC.