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# If O is the center of the 5-sided polygon, what is the measure of angl

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Math Expert
Joined: 02 Sep 2009
Posts: 55653
If O is the center of the 5-sided polygon, what is the measure of angl  [#permalink]

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12 Sep 2018, 01:04
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Difficulty:

45% (medium)

Question Stats:

64% (00:55) correct 36% (01:07) wrong based on 26 sessions

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If O is the center of the 5-sided polygon, what is the measure of angle VOZ?

(1) Angle WVZ is 108°.
(2) The figure above is a regular pentagon.

Attachment:

image001 (2).jpg [ 2.38 KiB | Viewed 356 times ]

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Re: If O is the center of the 5-sided polygon, what is the measure of angl  [#permalink]

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12 Sep 2018, 01:40
Bunuel wrote:

If O is the center of the 5-sided polygon, what is the measure of angle VOZ?

(1) Angle WVZ is 108°.
(2) The figure above is a regular pentagon.

Attachment:
image001 (2).jpg

Angle VOZ=interior angle of polygon.

The formula for calculating the interior angles of a regular polygon is: $$\frac{(n - 2)}{n}$$ × 180° where n is the number of sides of the polygon. Here n=5

So the sufficient condition:- The given figure must be a polygon.

Ans. (B)
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Re: If O is the center of the 5-sided polygon, what is the measure of angl   [#permalink] 12 Sep 2018, 01:40
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