plz  meritnation experts answer my question

rn

how can example 2 be right becuz 110+50 = 160 and the alternate interior angles are not equal

Example 2 is right. Instead of taking 110 and 50 we should take 130 and 50 as interior angles. They then become supplementary. So The lines are parrellal

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cant u c 110 is on dc and not ba

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 110 and 50 are not alternate interior angles

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its confusing

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in eg.2 we have to find wheather pq is parellel to rs or not so for that it is given tht ab is the transversal so angles on the same side of transversal that ia is the sum of angles uxy and angle vyx is = 180degree then the lines are parallel so instad of taking 110 and 50 u should take 50 and 30.

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In the given figure,

∠Y +  ∠X = 130 ° + 50 ° = 180 °

∠U + ∠V = 180° (Linear Pair)

110 ° + ∠V = 180 °

V = 180° - 110°

∠V=70°

SO,

∠X + ∠Y = 180°

∠U + ∠V =180°

They are interior angles that lie on the same side of transversal AB. Since they are supplementary, lines PQ and RS are parallel.

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in the given figure  we get that, 

Y + ∠X = 130  + 50  = 180 

∠U + ∠V = 180  (Linear Pair)

110  + ∠V = 180 

V = 180  - 110

∠V=70

SO,

∠X + ∠Y = 180 

∠U + ∠V =180 

They are interior angles that lie on the same side of transversal AB. Since they are supplementary, lines PQ and RS are parallel.

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They are taking 130 and 50 degrees because those angles seem to be lying on the transversal if we assume the lines are parallel. Thumbs up please :) :P

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