CPM Homework Help : INT2 Problem 9-9

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9-9.

How many sides does the regular polygon have if each interior angle has the following measure?

$60^\circ$
Step (a):
$60^\circ = \frac{180^\circ(n-2)}{n}$
Answer (a):
$n = 3$ sides

$156^\circ$

$90^\circ$

$140^\circ$
Answer (d):
$9$ sides

Hint:

In addition, for regular polygons:

The measure of each angle in a regular $n$ -gon is $\frac{180^\circ(n-2)}{n}$ .
The measure of each exterior angle in a regular $n$ -gon is $\frac{360^\circ}{n}$ .

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