How many sides does this polygon have
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How many sides does this polygon have

[From: ] [author: ] [Date: 12-04-16] [Hit: ]
-Measure of interior angles - 180(n-2) = 180n - 360, where n represents the number of sides.For any convex polygon, the sum of its exterior angles will be 360°.So since these values are equal,The polygon has four sides.......
The sum of the measures of the interior angles of a certain polygon is the same as the sum of the measures of is exterior angles.

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The sum of the exterior angles of any closed polygon is 360°
The sum of the interior angles of any closed polygon is 180*(n-2)

360 = 180*(n-2)
2 = n-2
n = 4

The polygon has 4 sides.

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Measure of interior angles - 180(n-2) = 180n - 360, where n represents the number of sides.
For any convex polygon, the sum of its exterior angles will be 360°.
So since these values are equal,
180n - 360 = 360
180n = 720
n = 4
The polygon has four sides.
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