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RRB NTPC Mains or Stage 2 Model Paper 4 with solutions

Question : 10 of 120

Marks: +1, -0

In the figure given above, what is ÐBYX equal to?

Solution:

Concept:

Angles in the same segment of a circle are equal, and the angles of a triangle sum to

180^\circ

Explanation:

From the figure,

\angle XAY = 45^\circ

and

\angle BXY = 50^\circ

Since

\angle XBY

and

\angle XAY

are angles in the same segment,

\angle XBY = \angle XAY = 45^\circ

\triangle BXY

\angle BXY + \angle XBY + \angle BYX = 180^\circ

So,

50^\circ + 45^\circ + \angle BYX = 180^\circ

\angle BYX = 180^\circ - 95^\circ = 85^\circ

Answer:

\angle BYX = 85^\circ

, so the correct option is A.

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