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If C is the center of the circle above, then x + y = [#permalink]
Expert's post 00:00

Question Stats: 90% (00:27) correct 9% (00:42) wrong based on 11 sessions
Attachment: #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

Kudos for the right answer and explanation
[Reveal] Spoiler: OA

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Intern Joined: 26 Sep 2019
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Re: If C is the center of the circle above, then x + y = [#permalink]
Option A
Intern Joined: 26 Sep 2019
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Kudos [?]: 7 , given: 1

Re: If C is the center of the circle above, then x + y = [#permalink]
Sum of all angles = 360
Intern Joined: 26 Sep 2019
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Kudos [?]: 7 , given: 1

Re: If C is the center of the circle above, then x + y = [#permalink]
angles opposite to cutting lines are equal
Intern Joined: 26 Sep 2019
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Re: If C is the center of the circle above, then x + y = [#permalink]
So, x ~ y and 135 ~ other
Intern Joined: 26 Sep 2019
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Re: If C is the center of the circle above, then x + y = [#permalink]
This 2*135 + 2x = 360
Intern Joined: 19 Oct 2019
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Re: If C is the center of the circle above, then x + y = [#permalink]
abdulmanan wrote:
Sum of all angles = 360

If C is the center of the circle above, then x + y =
Intern Joined: 06 May 2020
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Kudos [?]: 10 , given: 30

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

GRE Instructor Joined: 10 Apr 2015
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Kudos [?]: 3995 , given: 65

Re: If C is the center of the circle above, then x + y = [#permalink]
Expert's post
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° 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

APPROACH #2
Since angles on a line add to 180° we can conclude that x = 45° Since opposite angles are equal, we can conclude that y = 45° So, x + y = 45°[/b] + 45°[/b] = 90°

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Brent Hanneson – Creator of greenlighttestprep.com Moderator Joined: 24 Dec 2018
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Re: If C is the center of the circle above, then x + y = [#permalink]
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.

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GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests Re: If C is the center of the circle above, then x + y =   [#permalink] 11 May 2020, 01:08
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