In quadrilateral LMNP, MN is parallel to PL, what is the measure of an

Question

In quadrilateral LMNP, MN is parallel to PL, what is the measure of angle M?

(1) Angle N is 80°.
(2) Angle L is 140°.

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Eternal · Answer

Statement (1) Angle N = 80 Insufficient
Statement (2) Angle l = 140 Sufficient (Since Angle L + Angle M= 180)

Ans (B)

Aprck · Answer

Is the answer B? Please confirm

dhairyachd · Answer

Statement (1) Angle N = 80 Insufficient
Statement (2) Angle l = 140 InSufficient

I think it is C because we are using the information in A

Eternal · Answer

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Hi, the answer is B. Hope you do not have any doubts.

rakeshindi · Answer

How did you assume that L and N are vertically opposite?? it can be L and M also vertically opposite....isn't it??

Eternal · Answer

The quadrilateral is named as LMNP, so only L and N can be opposite angles.

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avpk729 · Answer

This can't be correct. The quadrilateral is a Trapezium and not a Parallelogram.
Therefore, the adjacent angles won't sum up to 180.

Also you have typed Angle "l"
this seems to be incorrect notation for "L" which you correctly notate in the brackets.

Sohinik · Answer

Statement 2 is sufficient.

We do not know whether NP is parallel to ML. Nothing is mentioned in the stem regarding these two lines.
BUT, ML is the transverse line cutting the parallel lines MN and LP (as mentioned in the q stem). Therefore, M and L are supplementary angles.

Hence, M+L=180
>> M+140=180
>>M =40

In quadrilateral LMNP, MN is parallel to PL, what is the measure of an

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