In a triangle ABC the sides AB AC are produced and the bisectors of exterior angles of ABC and ACB i...........

Quantitative Aptitude (CDS) Mensuration 2D

In a triangle ABC, the sides AB, AC are produced and the bisectors of exterior angles of $\small \angle$ ABC and $\small \angle$ ACB intersect at D. If $\small \angle$ BAC = 50^o , then $\small \angle$ BDC is equal to

115^o

65^o

55^o

40^o

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Explanation:

$\small In \: \Delta ABC,$
50+x+y=130
x+y=130
x+a+a=180--------------------(1)
y+b+b=180-------------------(2)
add 1 and 2

Adding both, we get
x + y + 2a = 2b = 360
130 + 2(a+b) = 360
2(a+b) = 230
a + b = 115
$\small In \: \Delta BCD,$
a+b+D=180
115+D=180
D=65^o

By: Munesh Kumari

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In a triangle ABC the sides AB AC are produced and the bisectors of exterior angles of ABC and ACB i...........

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