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In a triangle ABC, (angle B) = 2 ( angle C), AD is the bisector of ( angle A) in such a way that DC = AB. The value of (angle C ) is A) 40 degree B) 45 degree C) 72 degree D) 36 degree PLEASE give the explanation

In a triangle ABC, (angle B) = 2 ( angle C), AD is the bisector of ( angle A) in such a way that DC = AB. The value of (angle C ) is 

A) 40 degree B) 45 degree 
C) 72 degree D) 36 degree 

PLEASE give the explanation

Grade:12

3 Answers

Bevkoof Singh
43 Points
7 years ago
ans A is correct by using sin formula we get 2cos c=bd/dc and from cosine formula we get 2bd^=3dc^2+dc*bd so on solving above two eqns we get cos c=3/4 or -1/2 since -1/2 is neglected so cos c=3/4 c=40 degree
Amit Nardiya
askIITians Faculty 24 Points
7 years ago
Ans - D (36 Degree)202-1484_10.1.png
RAJEEV
8 Points
7 years ago
@Amit Nardiya: This proves that you don`t even read the question. It`s AB=DC not AD=DC. Seriously IITians don`t have the brains. That`s the reason I didn`t join IIT even though I got an AIR of 234

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