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

2 answers:

7 0

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.

gtnhenbr [62]4 years ago

6 0

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.

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Step-by-step explanation:

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