3. The outer and inner ang
of a regular polygon are int
ratio 2 :7. How many sid
does it have?
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your answer is 9 sides
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8th
Maths
Understanding Quadrilaterals
Angle Sum Property
The ratio of an interior an...
MATHS
The ratio of an interior angle to the exterior angle of a regular polygon is 7:2. Find the number of sides of the polygon.
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ANSWER
Interior angle of a polygon of n-sides =
n
(n−2)π
Exterior angle of a polygon of n-sides =
n
2π
Taking there ratio, and equating it to
2
7
Thus
2
n−2
=
2
7
⇒n=9
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