Bunuel wrote:

In the circle above with center O, x + y =

(A) 110

(B) 125

(C) 180

(D) 240

(E) 250

Attachment:

2017-11-22_1023.png

Each triangle has two legs emanating from the center O, each of which is a radius of the circle.

We see that the top triangle is an isosceles triangle with two 65-degree angles . Thus x = 180 - 65 - 65 = 50.

We see that the bottom triangle is also an isosceles triangle with two 60-degree angles. Thus y = 180 - 60 - 60 = 60.

So x + y = 50 + 60 = 110.

Answer: A

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