Each of the interior angles of a regular polygon is 140o. How many sides has the polygon?
Answer Details
To find out the number of sides of a regular polygon when given the measure of its interior angles, we can use the formula:
Interior angle = (n-2) x 180 / n
Where 'n' is the number of sides of the polygon.
In this case, we know that each interior angle of the polygon measures 140 degrees. Substituting this value into the formula, we get:
140 = (n-2) x 180 / n
Simplifying this equation, we get:
140n = (n-2) x 180
140n = 180n - 360
360 = 40n
n = 9
Therefore, the regular polygon has 9 sides.
Thus, the correct answer is 9.