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# ABCDEF is a regular six sided polygon, and EFG is a regular three side

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Senior Manager
Joined: 21 Oct 2013
Posts: 416
ABCDEF is a regular six sided polygon, and EFG is a regular three side  [#permalink]

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30 Sep 2014, 13:29
4
2
00:00

Difficulty:

55% (hard)

Question Stats:

54% (01:23) correct 46% (01:53) wrong based on 130 sessions

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ABCDEF is a regular six sided polygon, and EFG is a regular three sided polygon. If point G is not found inside ABCDEF, then ∠AFG is

A) a straight angle
B) an acute angle
C) an obtuse angle
D) a right angle
E) a 360° angle

OE
Attachment:

Geom.png [ 6.8 KiB | Viewed 5551 times ]
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Re: ABCDEF is a regular six sided polygon, and EFG is a regular three side  [#permalink]

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30 Sep 2014, 21:20
3
goodyear2013 wrote:
ABCDEF is a regular six sided polygon, and EFG is a regular three sided polygon. If point G is not found inside ABCDEF, then ∠AFG is

A) a straight angle
B) an acute angle
C) an obtuse angle
D) a right angle
E) a 360° angle

OE
Attachment:
Geom.png

A six sided regular polygon is a hexagon. Each interior angle of a regular hexagon is 120 degrees. A three sides regular polygon is an equilateral triangle. Each angle of an equilateral triangle is 60 degrees. Angle AFG is the sum of angles AFE and GFE i.e. 120 + 60 = 180 degrees.

So angle AFG is a straight angle.

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Re: ABCDEF is a regular six sided polygon, and EFG is a regular three side  [#permalink]

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30 Sep 2014, 21:26
2
Answer = A = Straight Angle

Refer diagram below
Attachment:

Interior20angle20of20hexagon1_10.png [ 3.89 KiB | Viewed 5499 times ]

ABCDEF = regular six sided polygon = Hexagon (Each Internal Angle = 120 Deg)

EFG = regular 3 sided polygon = Equilateral Triangle (Each Internal Angle = 60 Deg)

$$\angle AFG = \angle AFE + \angle EFG = 120+60 = 180$$
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Re: ABCDEF is a regular six sided polygon, and EFG is a regular three side  [#permalink]

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12 Sep 2018, 05:07
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Re: ABCDEF is a regular six sided polygon, and EFG is a regular three side   [#permalink] 12 Sep 2018, 05:07
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