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# In the spiderweb above, 18 straight threads meet at the center. What

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Math Expert
Joined: 02 Sep 2009
Posts: 54436
In the spiderweb above, 18 straight threads meet at the center. What  [#permalink]

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01 Aug 2017, 04:46
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Difficulty:

25% (medium)

Question Stats:

91% (00:54) correct 9% (01:01) wrong based on 58 sessions

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In the spiderweb above, 18 straight threads meet at the center. What is the average (arithmetic mean) measure, in degrees, of the 18 nonoverlapping angles about the center?

(A) 18
(B) 20
(C) 22
(D) 25
(E) 28

Attachment:

2017-08-01_1349.png [ 55.44 KiB | Viewed 1110 times ]

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Re: In the spiderweb above, 18 straight threads meet at the center. What  [#permalink]

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01 Aug 2017, 04:52
Angle across a point is 360 degree.

Since, there are 18 straight threads that meet at the center,
the average of the 18 non-overlapping angles at the center
is given by $$\frac{360}{18} = 20(Option B)$$
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Re: In the spiderweb above, 18 straight threads meet at the center. What  [#permalink]

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02 Aug 2017, 13:37
Bunuel wrote:

In the spiderweb above, 18 straight threads meet at the center. What is the average (arithmetic mean) measure, in degrees, of the 18 nonoverlapping angles about the center?

(A) 18
(B) 20
(C) 22
(D) 25
(E) 28

Attachment:
2017-08-01_1349.png

We see that 18 angles make up a circle or 360 degrees. Thus, the average of each angle is 360/18 = 20 degrees.

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Re: In the spiderweb above, 18 straight threads meet at the center. What  [#permalink]

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04 Aug 2017, 16:04
Nice, confusing and easy question.

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Re: In the spiderweb above, 18 straight threads meet at the center. What  [#permalink]

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05 Aug 2017, 00:33
Bunuel wrote:

In the spiderweb above, 18 straight threads meet at the center. What is the average (arithmetic mean) measure, in degrees, of the 18 nonoverlapping angles about the center?

(A) 18
(B) 20
(C) 22
(D) 25
(E) 28

Attachment:
2017-08-01_1349.png

18 straight threads make a total of 360 degree angle.
Average = 360/18 = 20 ..

At first question looks a bit confusing but it is relatively easy problem...

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Re: In the spiderweb above, 18 straight threads meet at the center. What  [#permalink]

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05 Aug 2017, 05:41
there are only 18 angles?
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Re: In the spiderweb above, 18 straight threads meet at the center. What  [#permalink]

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05 Aug 2017, 20:06
1
pclawong wrote:
there are only 18 angles?

yes there are 18 angles only. you can count it. or see my solution above
Re: In the spiderweb above, 18 straight threads meet at the center. What   [#permalink] 05 Aug 2017, 20:06
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