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.
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