Q. 55.0( 1 Vote )

# In Figure 5.63 two straight lines AB and CD are intersecting each other at point O and the angle thus formed at O are marked.Here the value of ∠x – ∠y is –A. 56°B. 118°C. 62°D. 180°

Let the intersection point be O.

If we consider line AB, AB is a straight line. x + y forms a linear pair and in the similar manner AOD + 62° = 180°

Sum of all the angles about O is 360°.

x + y + AOD + 62° = 360°

180° + AOD + 62° = 360°

AOD + 242° = 360°

AOD = 360 – 242

AOD = 118°

Now y = 62° [vertically opposite angles]

Also x = AOD = 118° [vertically opposite angles]

So x - y = 118 – 62

= 56°

So the correct answer is A.

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