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If C is the center of the circle above, then x + y =

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If C is the center of the circle above, then x + y = [#permalink] New post 09 Oct 2019, 12:24
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90% (00:27) correct 9% (00:42) wrong based on 11 sessions
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#greprepclub If C is the center of the circle above, then x + y.jpg
#greprepclub If C is the center of the circle above, then x + y.jpg [ 16.48 KiB | Viewed 640 times ]


If C is the center of the circle above, then x + y =

(A) 45

(B) 65

(C) 90

(D) 100

(E) 130

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[Reveal] Spoiler: OA

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Re: If C is the center of the circle above, then x + y = [#permalink] New post 15 Oct 2019, 12:04
Option A
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Re: If C is the center of the circle above, then x + y = [#permalink] New post 15 Oct 2019, 12:04
Sum of all angles = 360
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Re: If C is the center of the circle above, then x + y = [#permalink] New post 15 Oct 2019, 12:04
angles opposite to cutting lines are equal
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Re: If C is the center of the circle above, then x + y = [#permalink] New post 15 Oct 2019, 12:05
So, x ~ y and 135 ~ other
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Re: If C is the center of the circle above, then x + y = [#permalink] New post 15 Oct 2019, 12:05
This 2*135 + 2x = 360
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Re: If C is the center of the circle above, then x + y = [#permalink] New post 19 Oct 2019, 02:01
abdulmanan wrote:
Sum of all angles = 360

If C is the center of the circle above, then x + y =
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Re: If C is the center of the circle above, then x + y = [#permalink] New post 08 May 2020, 08:11
135= C= 135
135+135=270
Sum of all angles= 360
360-270=90
x=y
therefore, x+y=90
because 45+45=90

the answer should be (C)
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Re: If C is the center of the circle above, then x + y = [#permalink] New post 08 May 2020, 09:48
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Carcass wrote:
Attachment:
#greprepclub If C is the center of the circle above, then x + y.jpg


If C is the center of the circle above, then x + y =

(A) 45
(B) 65
(C) 90
(D) 100
(E) 130

Kudos for the right answer and explanation


APPROACH #1
Since opposite angles are equal, we know that the other angle here is 135°
Image
Since angles around a point add to 360°, we can write: 135° + x° + 135° + y° = 360°
Simplify to get: x + y + 270 = 360
Subtract 270 from both sides to get: x + y = 90

Answer: C


APPROACH #2
Since angles on a line add to 180° we can conclude that x = 45°
Image


Since opposite angles are equal, we can conclude that y = 45°
Image

So, x + y = 45°[/b] + 45°[/b] = 90°

Answer: C


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Re: If C is the center of the circle above, then x + y = [#permalink] New post 11 May 2020, 01:08
The angle around the centre of a circle is 360 degrees.

We know that when two straight lines intersect, the opposite angles are equal.

The angle opposite to 135 degrees is also 135 degrees.

That gives us a total of 270 degrees.

We have 360 - 270 = 90 degrees left, distributed equally between x and y (since they are opposite angles too)

But anyway, they are asking for the sum of x and y, which should be the remaining 90 degrees.

Answer is C
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Re: If C is the center of the circle above, then x + y =   [#permalink] 11 May 2020, 01:08
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