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# Which of the following true for convex hexagon? I - Atmost

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Manager
Joined: 24 Sep 2008
Posts: 185
Schools: MIT / INSEAD / IIM - ABC
Which of the following true for convex hexagon? I - Atmost [#permalink]

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03 Nov 2008, 01:17
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Which of the following true for convex hexagon?

I - Atmost 2 of the interior angles are acute angles
II - Atleast one of the interior angles is greater than 120degree
III - The sum of 2 interior angles can't be greater than sum of other interior angles
Senior Manager
Joined: 28 Feb 2007
Posts: 296
Re: PS - Convex hexagon [#permalink]

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03 Nov 2008, 03:01
Ur q is Could be Or Must be true?
anyway,
#1 could be denied for regular hexagon (specific ex)
#2 could be denied for regular hexagon again.
#3 always true: because none of the single angles can not be greater than 180. So max sum of 2 interior angles can be very close to 360 but the sum of rest will be more than 360. As the total must be 720.
Manager
Joined: 24 Sep 2008
Posts: 185
Schools: MIT / INSEAD / IIM - ABC
Re: PS - Convex hexagon [#permalink]

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03 Nov 2008, 04:03
UMB wrote:
Ur q is Could be Or Must be true?
anyway,
#1 could be denied for regular hexagon (specific ex)
#2 could be denied for regular hexagon again.
#3 always true: because none of the single angles can not be greater than 180. So max sum of 2 interior angles can be very close to 360 but the sum of rest will be more than 360. As the total must be 720.

Thanks! you are correct.....just help me out here, what exactly is convex hexagon?That's where i got stuck in this problem.
Senior Manager
Joined: 28 Feb 2007
Posts: 296
Re: PS - Convex hexagon [#permalink]

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10 Nov 2008, 01:11
GODSPEED wrote:
UMB wrote:
Ur q is Could be Or Must be true?
anyway,
#1 could be denied for regular hexagon (specific ex)
#2 could be denied for regular hexagon again.
#3 always true: because none of the single angles can not be greater than 180. So max sum of 2 interior angles can be very close to 360 but the sum of rest will be more than 360. As the total must be 720.

Thanks! you are correct.....just help me out here, what exactly is convex hexagon?That's where i got stuck in this problem.

Hexagon=six sided polygon
Convex= a polygon, which lies on one side of the line that joins any two adjacent points of the very polygon.Search for the image in google.com.
Re: PS - Convex hexagon   [#permalink] 10 Nov 2008, 01:11
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