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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?
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?
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
_________________
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
_________________
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)
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?
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