A regular polygon has 20 sides. What is the size of each of its interior angles?
Give your answer in degrees ().

Step-by-step explanation:

sum of exterior angles=360°

each exterior angle=360/20=18°

each interior angle=180-18=162°

16.2°

Step-by-step explanation:

polygon has 20 sides

regular polygon

How to find the sum of all interior angles in a polygon?

=> (n-2) x 180

here n means number of sides

=> (20-2) x 180

=> 18 x 18

=> 324

there are as many interior angles in a polygon as many sides it has.

and the size of each angle is the same in a regular polygon.

so => 324/20 = 16.2°- Answer

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!