Question

the sum of the interior angle measures of a convex polygon is $1800^{circ}$. how many sides does it have?
number of sides =

Explanation:

Step1: Recall interior angle formula

The sum of interior angles of an $n$-sided polygon is $(n-2)\times180^\circ$.

Step2: Set up equation

$$(n-2)\times180 = 1800$$

Step3: Solve for $n$

First, divide both sides by $180$:
$$n-2 = \frac{1800}{180} = 10$$
Then add 2 to both sides:
$$n = 10 + 2 = 12$$

Answer:

12