Question

A polygon with 9 sides has an interior sum of what degrees?

Answer 1

Sum of Interior angle of polygon with 9 sides = 1260°

Each individual angle of polygon with 9 sides = 140°

Step-by-step explanation:

Step 1:

To find the sum of interior angle of any number of sides in a polygon is given by    (n-2) $*$ 180°

And each angle is given by ((n-2) $*$ 180°)/ n

where n= Number of sides in a polygon

Step 2:

Here the number of sides is equal to 9.

∴ Interior sum of angle = (9-2) $*$ 180°

                                      = 1260°

∴ Each individual angle of a polygon = ((9-2) $*$  180°) / 9

                                                          = 140°