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Quantitative Aptitude

Triangles

In triangle D...

Question

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?(CAT 2001)

140⁰

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70⁰

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100⁰

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None of these

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Solution

The correct option is C 100⁰

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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Question 46. 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. If angle D = 40 degrees, then what is angle ACB in degrees?

Q. 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. Angle D = 40

^{\circ}

then what is angle ACB in degrees?

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respectively. Show that

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B C ∥ E F

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and

C

are joined to vertices

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and

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respectively. Show that
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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∘ then what is ∠ACB in degrees?(CAT 2001)

The correct option is C 1000 Option (c) The angle in question is p p+180-2x+180-2y=180∘ thus p-2(x+y)= 180∘……………..(1) also, BDX = x+y (exterior angle= sum of 2 interior angles not adjacent to it) x+y= 140∘………(2) using the 2 statements, p= 100∘

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?(CAT 2001)