Question

find the number of sides of a regular polygon whose each angle measures 144 degrees​

Answer 1

Answer:

=

10

sides

Explanation:

To find the no. of sides, we first need to find the measurement of the exterior angle.

Exterior angle  = 180 ∘ − m. of int. angle  = 180 ∘ − 144  ∘= 36 0∘

 To find the no. of sides, we use the formula  

⇒ 360∘ m. of ext. angle

That is, no. of sides = 360 ∘ 36 ∘  = 10  sides

~Hope this helps! :)