The interior angle of a certain polygon is 840

. If each of the other angles is 1470
how many sides does the
polygon have?

1 answer

The sum of the interior angles of a polygon is given by the formula (n-2) * 180, where n is the number of sides of the polygon.

If the interior angle of the polygon is 840, then we can set up the equation (n-2) * 180 = 840.

Simplifying this equation, we have n - 2 = 840 / 180.

n - 2 = 4.67

Adding 2 to both sides of the equation, we have n = 6.67

Since the number of sides of a polygon must be a whole number, we can round down n to the nearest whole number.

Therefore, the polygon has 6 sides.