In the figure given below XA and XB are two tangents to a circle If AXB 50o and AC is parallel ...........

Quantitative Aptitude (CDS) Coordinate Geometry

In the figure given below, XA and XB are two tangents to a circle, If $\angle$ AXB = 50^o and AC is parallel to XB, then what is $\angle$ ACB equal to?

70^o

65^o

60^o

55^o

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Explanation:

Let O be the center of the circle.

Now, angle OAX = angle OBX = 90^o

In polygon AOBX, Angles (AOB + OBX + BXA + XAO) = 360^o

Thus, angle AOB = 360 – (90 + 90 + 50) = 130^o

angle ACB = ½ angle AOB = ½ of 130 = 65^o

By: Munesh Kumari

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In the figure given below XA and XB are two tangents to a circle If AXB 50o and AC is parallel ...........

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Explanation:

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