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(b)The sum of interior angles of a regular polygon is . Find the number of sides of the regular polygon.[2]?
Mervede Matondo
Mar 5
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#mathematics
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#geometry
(b)The sum of interior angles of a regular polygon is . Find the number of sides of the regular polygon.[2]?
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Mar 5
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To find the number of sides of a regular polygon, we can use the formula for the sum of interior angles of a polygon:
Sum of interior angles = (n-2) * 180 degrees
Given that the sum of interior angles is 1260 degrees, we can set up the equation:
1260 = (n-2) * 180
Solving for n:
1260 = 180n - 360
1260 + 360 = 180n
1620 = 180n
n = 1620 / 180
n = 9
Therefore, the regular polygon has 9 sides.
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