An interior angle of a regular convex polygon is 140°. How many sides does the polygon have?

Answer 1

To find the number of sides of the polygon, we can use the formula for the interior angle of a regular polygon:

Interior angle = (n-2) * 180 / n

where n is the number of sides of the polygon.

Given that the interior angle of the polygon is 140°, we can plug this value into the formula and solve for n:

140 = (n-2) * 180 / n
140n = 180n - 360
360 = 40n
n = 9

Therefore, the polygon has 9 sides.