Math, asked by sannybnmurthy, 8 months ago

How many sides does a regular polygon have if its interior angles are 165

Answers

Answered by amitsingh961063

Step-by-step explanation:

24 sides

You know that each of the interior angles is 165 degrees so that gives you half of your equation, 165 times n, or 165n. Second, set your interior angles equal to the interior angle formula (n-2)180 = 165n. Last, solve for n. Divide by 15 to get n = 24 sides to the polygon.

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