NOTE: Figure not drawn to scale. If line l and line m never insect an

Question

https://gmatclub.com/forum/download/file.php?id=42834 NOTE: Figure not drawn to scale. If line l and line m never intersect and a = 34°, what is the value of b? A. 146 B. 90 C. 68 D. 45 E. 34 image009.jpg

PKN · Answer

Given, line l and line m never intersect implies that m||n

So, alternate angles are equal, hence b=a=34°

Ans. (E)

Chethan92 · Answer

Line L and M never intersect. Implies that Line L and M are parallel.

Also, angle a and angle b are alternate angles. a = b.
Therefore a = b = 34.

E is the answer.

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AliciaSierra · Answer

l and line m never insect means lines are parallel. So if angle a=angle b. B=34.
Answer: E

rajudantuluri · Answer

Hi  Bunuel

I feel like something else is missing in the question. It says figure not drawn to scale and says the lines never intersect. That doesn't mean that the lines are parallel. They appear to be parallel but it's also possible that they are not parallel. Shouldn't there be an option "Cannot be determined" in this case which is the right answer?

PKN · Answer

Hi  rajudantuluri ,
Refer the highlighted text, In case two lines are not parallel, that means they intersect somewhere in the xy-plane. If they intersect then they are not parallel.
So, the only possibility: They are parallel. 
(You may draw two lines with different angles, then extend them in both forward and backward direction, they will certainly intersect).
Irrespective of whether the figure is NTS or exact, when two lines never intersect then they are parallel.

rajudantuluri · Answer

The clouds are cleared now

Thanks PKN!

stne · Answer

Dear Moderator,
Came across this question, small typo is the question above, you may wish to correct the same , I guess you meant to write  intersect  well as it has turned out to be something else. Hope you will look into this. Thank you.

Bunuel · Answer

_______________
Edited. Thank you.

HasnainAfxal · Answer

line l and m are parallel
so angle a and b are vertical angles and a=b
so b=34

NOTE: Figure not drawn to scale. If line l and line m never insect an

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