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In the figure given below, if O is the centre of the circle and

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In the figure given below, if O is the centre of the circle and  [#permalink]

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New post 27 Oct 2018, 00:53
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In the figure given below, if O is the center of the circle and \(\angle BAO=54^{\circ}\), then what is \(\angle OAD+ \angle OCD?\)
Attachment:
Image.jpg
Image.jpg [ 18.36 KiB | Viewed 249 times ]


A. \(108^{\circ}\)
B. \(126^{\circ}\)
C. \(112^{\circ}\)
D. \(120^{\circ}\)
E. \(128^{\circ}\)

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Re: In the figure given below, if O is the centre of the circle and  [#permalink]

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New post 27 Oct 2018, 01:41
eswarchethu135 wrote:
In the figure given below, if O is the center of the circle and \(\angle BAO=54^{\circ}\), then what is \(\angle OAD+ \angle OCD?\)
Attachment:
The attachment Image.jpg is no longer available


A. \(108^{\circ}\)
B. \(126^{\circ}\)
C. \(112^{\circ}\)
D. \(120^{\circ}\)
E. \(128^{\circ}\)



Please find solution as attached.

Answer: Option B
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Re: In the figure given below, if O is the centre of the circle and  [#permalink]

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New post 27 Oct 2018, 02:06
ABCD is an isosceles trapezoid. (AB = DC)

OB = OA
∠B = ∠ C = 54

∠AOB = 180-(54+54)=72
∠AOC = 180-72 = 108
∠A + ∠D = 360 - ∠B - ∠C = 252
∠A = ∠D ; ∠D = 126

∠OAD + ∠OCD = 360- ∠AOC - ∠D = 360 - 108 - 126 = 126
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Re: In the figure given below, if O is the centre of the circle and   [#permalink] 27 Oct 2018, 02:06
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In the figure given below, if O is the centre of the circle and

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