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# Streets L, M and N are straight and level, and they intersect to form

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Math Expert
Joined: 02 Sep 2009
Posts: 46316
Streets L, M and N are straight and level, and they intersect to form [#permalink]

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17 Aug 2017, 23:53
00:00

Difficulty:

15% (low)

Question Stats:

90% (00:33) correct 10% (00:43) wrong based on 76 sessions

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Streets L, M and N are straight and level, and they intersect to form a triangle. If streets L and M intersect at a 40° angle and if street N is perpendicular to street M, at what acute angle do streets L and N intersect?

(A) 30°
(B) 35°
(C) 40°
(D) 45°
(E) 50°

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Re: Streets L, M and N are straight and level, and they intersect to form [#permalink]

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18 Aug 2017, 00:18
Bunuel wrote:
Streets L, M and N are straight and level, and they intersect to form a triangle. If streets L and M intersect at a 40° angle and if street N is perpendicular to street M, at what acute angle do streets L and M intersect?

(A) 30°
(B) 35°
(C) 40°
(D) 45°
(E) 50°

Hi Bunuel,

There seems to be some problem in the question.
Either the angle is between L and N, or we have been asked to find the acute angle between the streets L and N
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Re: Streets L, M and N are straight and level, and they intersect to form [#permalink]

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18 Aug 2017, 00:55
Bunuel wrote:
Streets L, M and N are straight and level, and they intersect to form a triangle. If streets L and M intersect at a 40° angle and if street N is perpendicular to street M, at what acute angle do streets L and M intersect?

(A) 30°
(B) 35°
(C) 40°
(D) 45°
(E) 50°

LMN is a right angled triangle with LM intersecting at 40, MN intersecting at 90 and LN intersecting at 50
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Re: Streets L, M and N are straight and level, and they intersect to form [#permalink]

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18 Aug 2017, 01:19
The question is somewhat wrong as it as already given that L and M intersect at 40 degrees.

What is asked to find is not clear
Math Expert
Joined: 02 Sep 2009
Posts: 46316
Re: Streets L, M and N are straight and level, and they intersect to form [#permalink]

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18 Aug 2017, 02:26
sunchh wrote:
The question is somewhat wrong as it as already given that L and M intersect at 40 degrees.

What is asked to find is not clear

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Edited. Thank you.
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Re: Streets L, M and N are straight and level, and they intersect to form [#permalink]

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18 Aug 2017, 02:44
angle between two sides (Streets) L and M is 40 degree
the angle between the sides (Streets) N and M is 90 degrees
Hence angle between sides (Streets) L and N should be 180-(40+90)=50 degree (Option E)
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Re: Streets L, M and N are straight and level, and they intersect to form [#permalink]

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19 Aug 2017, 21:49
Bunuel wrote:
Streets L, M and N are straight and level, and they intersect to form a triangle. If streets L and M intersect at a 40° angle and if street N is perpendicular to street M, at what acute angle do streets L and N intersect?

(A) 30°
(B) 35°
(C) 40°
(D) 45°
(E) 50°

$$\angle$$ LM = 40
$$\angle$$ NM = 90
$$\angle$$ LN = 180 - (40+90)
= 50

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Re: Streets L, M and N are straight and level, and they intersect to form   [#permalink] 19 Aug 2017, 21:49
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