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Sum of the exterior angles

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Carcass
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Sum of the exterior angles [#permalink] New post   08 Jan 2018, 14:19
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Quantity A
Quantity B
Sum of the exterior angles in a regular hexagon
720 degrees


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Kudo for the right answer and explanation.
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B
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Re: Sum of the exterior angles [#permalink] New post   10 Jan 2018, 01:19
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So let's calculate the interior angle first.
(N-2)180 = 4*180 = 720.
Since the interio angles all egal to 720 it must be true that the extorior are greater than it.

Or what we can do is to determine one angle = 120 angles and draw a circle around all the angles. The area of the exterior angle will then equal 240 and we just add those 6 times.

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Re: Sum of the exterior angles [#permalink] New post   10 Jan 2018, 01:24
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for a hexagon total sides =6
sum of all interior angle of a regular polygon = (n-2)180
for 6 sides this is 4*180 = 720 degree
measure of 1 internal angle=720/6 = 120 degree
Any 1 of the 6 vertex can be extended to form a straight line
Straight angle =180 degree. This leaves us with 180-120= 60 degree for a single external angle
60*6=360 degree = sum of exterior angles (B)
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Re: Sum of the exterior angles [#permalink] New post   10 Jan 2018, 01:50
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B is the OA.

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Re: Sum of the exterior angles [#permalink] New post   19 Jan 2019, 19:12
Ans B
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Re: Sum of the exterior angles [#permalink] New post   07 Feb 2019, 07:07
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For any polygon, the sum of the exterior angles is always 360. So, as the polygon is a hexa and regular, so it has six equal exterior angles. So, 360/6=60 degree
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Re: Sum of the exterior angles [#permalink] New post   13 Mar 2021, 02:20
Carcass wrote:

Quantity A
Quantity B
Sum of the exterior angles in a regular hexagon
720 degrees


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Kudo for the right answer and explanation.


Sum of exterior angles in any polygon = 360
Sum of all exterior angles in any polygon = 720

Clearly, Col. A < Col. B

Hence, option B
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Re: Sum of the exterior angles [#permalink] New post   26 Jun 2025, 02:18
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Re: Sum of the exterior angles [#permalink]
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