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In the figure shown, ABCD is a trapezium. What is the value of x?

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In the figure shown, ABCD is a trapezium. What is the value of x?  [#permalink]

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New post 23 Dec 2018, 03:07
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A
B
C
D
E

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  35% (medium)

Question Stats:

73% (01:23) correct 27% (01:12) wrong based on 21 sessions

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In the figure shown, ABCD is a trapezium. What is the value of x?

A. \(\frac{-11}{3}\)
B. \(-2\)
C. \(2\)
D. \(3\)
E. \(11\)

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Re: In the figure shown, ABCD is a trapezium. What is the value of x?  [#permalink]

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New post 23 Dec 2018, 05:23
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Re: In the figure shown, ABCD is a trapezium. What is the value of x?  [#permalink]

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New post 24 Dec 2018, 22:06
1
OAB ~ OCD using ASA similarity (Angle-Side-Angle), because
angle AOB = angle COD (vertically opposite)
side AO = side CO
angle OAB = angle OCD (interior alternate angles as AB II DC )

So ratio of sides of both triangles is equal
AO:CO = BO: DO
2:2 = 3:5-x

==> 1= 5-x/3
x=2

answer =C
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Re: In the figure shown, ABCD is a trapezium. What is the value of x?   [#permalink] 24 Dec 2018, 22:06
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In the figure shown, ABCD is a trapezium. What is the value of x?

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