Question
The sum of interior angels and the sum of exterior angles of polygon are in the ratio 9:2.find the sides of regular polygon.
Answers
The sum of the exterior angles of any polygon is 360°
the interior sum is 180(n-2), where n is the number of sides
so 180(n-2) = 360
n-2 = 2
n = 4
so it is true for any quadrilateral
the interior sum is 180(n-2), where n is the number of sides
so 180(n-2) = 360
n-2 = 2
n = 4
so it is true for any quadrilateral
Related Questions
Each exterior angle of a regular polygon is 15 degrees.
How many sides does the polygon have?
an...
If the ratio of the interior angle to the exterior angle is 5:1 for a regular polygon, find
a. the...
Find the measure of the interior angle in a regular polygon if the ratio of the sum of the measures...
When the sun of the interior angles of a regular polygon is divided by 24,it is equal to the size of...