Question

How many sides does this polygon have ?

Answer 1

Answer:

45

Step-by-step explanation:

To get the measure of the interior angle of a polygon we use the formula (n-2)×180÷n where n is the number of sides of the polygon

We can use this formula in this question by sitting an equation and solving for n

(n-2)×180÷n = 172

Multiply both sides by n

(n-2)×180 = 172n

Distributing the 180

180n - 360 = 172n

Adding 360 and subtracting 172n from both sides

8n = 360

Dividing both sides by 8

N = 45

Answer 2

A polygon has 3 sides