If the sum of the measures of all the interior angles of a polygon is 2340
∘
. What is the number of sides of the polygon?

The formula for the sum of the interior angles of an n-sided polygon is:
Sum=(n−2)×180
∘

Given that the sum is 2340
∘
:

(n−2)×180=2340
n−2=
180
2340
​

n−2=13
n=13+2=15
Thus, the number of sides of the polygon is 15.