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Re: If C is the center of the circle above, then x + y = [#permalink]
08 May 2020, 09:48

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

Answer: C

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°

Answer: C

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