Question

Find the number of diagonals of a regular polygon whose interior angle measures 144 degrees?

Answer 1

Diagonals are = n - 2

Interior = 144

Exterior angle = 180 - 144 = 36

Formula for exterior of  a regular polygon given the number of sides:

= 360/n

36 = 360/n

n = 360/36 = 10

n = 10

Number of diagonals = n - 2 = 10 - 2 = 8

8 diagonals.

Answer 2

For this specific problem, the number of diagonals of a regular polygon whose interior angle measures 144 degrees is 35. I am hoping that this answer has satisfied your query about and it will be able to help you, thank you and have a nice day.