Answer:
Interior-140° Exterior-40°
Step-by-step explanation:
The sum of the interior angles of a polygon are given by 180(n-2) where n is the number of sides.
Therefore, the sum of all interior angles in a nonagon is 180(9-2) or 180×7. This equals to 1260°.
To get the individual interior angle, you use [tex]\frac{s}{n}[/tex], with n defined above and s being the sum of interior angles.
Therefore, each angle is [tex]\frac{1260}{9}[/tex]°, which can be solved to 140°.
The value of an individual exterior angle is given by 180-i, with i being the individual interior angle (this is because the 2 angles form a straight line).
In this case, 180-140=40°.
Each interior angle of a nonagon is 140°, and each exterior angle is 40°.
**This content involves angles of polygons, which you may want to revise. I'm always happy to help!
