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655-705 (Hard)|   Geometry|      
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Bunuel
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In quadrilateral LMNP, MN is parallel to PL, what is the measure of an 05 Nov 2019, 06:06
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55% (hard)

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54% (01:37) correct 46% (01:31) wrong based on 231 sessions

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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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B
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In quadrilateral LMNP, MN is parallel to PL, what is the measure of an 05 Nov 2019, 13:47
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Statement (1) Angle N = 80 Insufficient
Statement (2) Angle l = 140 Sufficient (Since Angle L + Angle M= 180)

Ans (B)
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File comment: Statement (1) Angle N = 80 Insufficient
Statement (2) Angle l = 140 Sufficient (Since Angle L + Angle M= 180)

Ans (B)
soln..jpeg
soln..jpeg [ 51.21 KiB | Viewed 4795 times ]

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In quadrilateral LMNP, MN is parallel to PL, what is the measure of an 05 Nov 2019, 14:16
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Is the answer B? Please confirm
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dhairyachd
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In quadrilateral LMNP, MN is parallel to PL, what is the measure of an 06 Nov 2019, 01:33
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[quote="Eternal"]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
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In quadrilateral LMNP, MN is parallel to PL, what is the measure of an 10 Nov 2019, 11:54
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Hi, the answer is B. Hope you do not have any doubts.
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In quadrilateral LMNP, MN is parallel to PL, what is the measure of an 14 Dec 2019, 06:00
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Eternal
Statement (1) Angle N = 80 Insufficient
Statement (2) Angle l = 140 Sufficient (Since Angle L + Angle M= 180)

Ans (B)
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How did you assume that L and N are vertically opposite?? it can be L and M also vertically opposite....isn't it??
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In quadrilateral LMNP, MN is parallel to PL, what is the measure of an 14 Dec 2019, 06:11
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The quadrilateral is named as LMNP, so only L and N can be opposite angles.

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In quadrilateral LMNP, MN is parallel to PL, what is the measure of an 13 Dec 2020, 03:25
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Eternal
Statement (1) Angle N = 80 Insufficient
Statement (2) Angle l = 140 Sufficient (Since Angle L + Angle M= 180)

Ans (B)
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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.
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In quadrilateral LMNP, MN is parallel to PL, what is the measure of an 18 Feb 2022, 01:31
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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
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