CPM Homework Help : INT2 Problem 8-39

A regular polygon has an interior angle measuring $135^\circ$ . How many sides does it have? Determine the number of sides using two different strategies. Show all work. Which strategy was most efficient?

Method 1:

Use the formula in the Math Notes box.

Step:

$135^\circ=\frac{180^\circ(n-2)}{n}$

Method 2:

What is the measure of an exterior angle? The exterior angles of a regular polygon sum to $360^\circ$ .