Question

1. the interior angle sum of a polygon is 4140 °, how many sides does the polygon have? the polygon has sides. the outlined content above was added from outside of formative. show your work

Explanation:

Step1: Recall the formula

The formula for the sum of interior - angles of a polygon is $S=(n - 2)\times180^{\circ}$, where $S$ is the sum of interior angles and $n$ is the number of sides.

Step2: Substitute the given value

We are given that $S = 4140^{\circ}$, so we set up the equation $4140=(n - 2)\times180$.

Step3: Solve for $n$

First, divide both sides of the equation by 180: $\frac{4140}{180}=n - 2$.
$23=n - 2$.
Then, add 2 to both sides: $n=23 + 2$.
$n = 25$.

Answer:

25