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# The sum of angles 1, 2, 3, 4, 5 and 6 is

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Math Expert
Joined: 02 Sep 2009
Posts: 50711
The sum of angles 1, 2, 3, 4, 5 and 6 is  [#permalink]

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31 Oct 2017, 09:14
00:00

Difficulty:

5% (low)

Question Stats:

88% (00:34) correct 12% (00:46) wrong based on 88 sessions

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The sum of angles 1, 2, 3, 4, 5 and 6 is

(A) 180°
(B) 360°
(C) 480°
(D) 540°
(E) 720°

Attachment:

2017-10-31_2113.png [ 16.62 KiB | Viewed 1133 times ]

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Director
Joined: 09 Mar 2017
Posts: 516
Location: India
Concentration: Marketing, Organizational Behavior
WE: Information Technology (Computer Software)
Re: The sum of angles 1, 2, 3, 4, 5 and 6 is  [#permalink]

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31 Oct 2017, 10:28
1
Bunuel wrote:

The sum of angles 1, 2, 3, 4, 5 and 6 is

(A) 180°
(B) 360°
(C) 480°
(D) 540°
(E) 720°

Attachment:
2017-10-31_2113.png

angle (2 + 4+ 6) + angle(1+3+5) = 180 +180

The sum of angles 1, 2, 3, 4, 5 and 6 is 360 (B) IMO.
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Intern
Joined: 01 Apr 2012
Posts: 3
The sum of angles 1, 2, 3, 4, 5 and 6 is  [#permalink]

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01 Nov 2017, 09:13
2
Triangle AEC+Triangle BFD=180+180=360
Manager
Joined: 13 Feb 2018
Posts: 135
Re: The sum of angles 1, 2, 3, 4, 5 and 6 is  [#permalink]

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11 May 2018, 03:39
The crucial moment is to see two triangles with distinct angles ACE & BCF
Sum of the angles of a triangle is 180
Sum of the angles of two triangles - 360

Ans - B
Senior Manager
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The sum of angles 1, 2, 3, 4, 5 and 6 is  [#permalink]

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11 May 2018, 13:42
For those who struggle to see the triangles disscused by guys above:

Sum of angles of hexagon = 180 (6-2) = 720

Average of angles = 720/6 = 120. Then the average of each 2 base angles of small triangles will be 180-120=60.
Hence the Sum of (1+2+3+4+5+6) = 60*6 = 360 Answer (B)
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Re: The sum of angles 1, 2, 3, 4, 5 and 6 is  [#permalink]

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14 May 2018, 15:45
Bunuel wrote:

The sum of angles 1, 2, 3, 4, 5 and 6 is

(A) 180°
(B) 360°
(C) 480°
(D) 540°
(E) 720°

Attachment:
2017-10-31_2113.png

We see that angle 1 + angle 3 + angle 5 = 180° since they are three angles of triangle ACE. Similarly, angle 2 + angle 4 + angle 6 = 180° since they are three angles of triangle BDF. Thus, the sum of these 6 angles is 180° + 180° = 360°.

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Re: The sum of angles 1, 2, 3, 4, 5 and 6 is &nbs [#permalink] 14 May 2018, 15:45
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