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Sub 505 (Easy)|   Geometry|      
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Bunuel
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Streets L, M and N are straight and level, and they intersect to form 17 Aug 2017, 23:53
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93% (00:58) correct 7% (01:00) wrong based on 161 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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E
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pushpitkc
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Streets L, M and N are straight and level, and they intersect to form 18 Aug 2017, 00:18
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Bunuel
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°
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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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Streets L, M and N are straight and level, and they intersect to form 18 Aug 2017, 00:55
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Bunuel
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°
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LMN is a right angled triangle with LM intersecting at 40, MN intersecting at 90 and LN intersecting at 50
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Streets L, M and N are straight and level, and they intersect to form 18 Aug 2017, 01:19
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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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Bunuel
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Streets L, M and N are straight and level, and they intersect to form 18 Aug 2017, 02:26
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sunchh
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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Streets L, M and N are straight and level, and they intersect to form 18 Aug 2017, 02:44
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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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Streets L, M and N are straight and level, and they intersect to form 19 Aug 2017, 21:49
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Bunuel
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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\(\angle\) LM = 40
\(\angle\) NM = 90
\(\angle\) LN = 180 - (40+90)
= 50

Answer E
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Streets L, M and N are straight and level, and they intersect to form 11 Nov 2018, 00:51
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