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
