In triangle DEF shown below, points A, B and C are taken on DE, DF and EF respec

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In triangle DEF shown below, points A, B and C are taken on DE, DF and EF respectively such that EC = AC and CF = BC.

∠

D = 40

^{\circ}

then what is

∠

ACB in degrees?

In Triangle DEF Shown Below, Points A, B And C Are Taken On ...

(CAT 2001)

Options:

A . 140∘

B . 70∘

C . 100∘

D . None of these

Answer: Option C
:
C

In Triangle DEF Shown Below, Points A, B And C Are Taken On ...

Option (c)
The angle in question is p
p+180-2x+180-2y=180

^{\circ}

thus p-2(x+y)= 180

^{\circ}

……………..(1)
also, BDX = x+y (exterior angle= sum of 2 interior angles not adjacent to it)
x+y= 140

^{\circ}

………(2)
using the 2 statements, p= 100

^{\circ}

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