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# In quadrilateral KLMN, what is the measure of angle L?

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Joined: 02 Sep 2009
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06 Sep 2018, 23:45
00:00

Difficulty:

55% (hard)

Question Stats:

58% (01:28) correct 42% (01:10) wrong based on 38 sessions

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In quadrilateral KLMN, what is the measure of angle L?

(1) The sum of angles L and K is 180.
(2) The sum of angles M, L, and N is 300.

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Re: In quadrilateral KLMN, what is the measure of angle L?  [#permalink]

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07 Sep 2018, 00:52
Bunuel wrote:
In quadrilateral KLMN, what is the measure of angle L?

(1) The sum of angles L and K is 180.
(2) The sum of angles M, L, and N is 300.

Question : what is the measure of angle L?

Statement 1: The sum of angles L and K is 180

Sum of two adjacent angles os 180º refers to the fact that two of the sides of KLMN i.e. LM and KN are parallel but we can't calculate teh angles yet hence

NOT SUFFICIENT

Statement 2: The sum of angles M, L, and N is 300

Sum of all angles of any quadrilateral = 360º
Sum of M, L, N = 300
i.e. Angle K = 360º - 300º = 60º

NOT SUFFICIENT

Combining the two statements

L + K = 180º
K = 60º
i.e. L = 120º

SUFFICIENT

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Re: In quadrilateral KLMN, what is the measure of angle L?  [#permalink]

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08 Sep 2018, 10:51
Bunuel wrote:
In quadrilateral KLMN, what is the measure of angle L?

(1) The sum of angles L and K is 180.
(2) The sum of angles M, L, and N is 300.

S1 - Angles L + K=180
Insufficient.

S2 - Angles M+L+N=300
Since sum of all interior angles of a quadrilateral = 360
Angle K=360-300 = 60.
Cannot find L. Insufficient.

Combining, K=60
L=180-60=120
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Re: In quadrilateral KLMN, what is the measure of angle L?   [#permalink] 08 Sep 2018, 10:51
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