Question

The sum of the measures of the interior angles is 1,440 degrees. How many sides does the polygon have? 4 6 8 10

Answer 1

The equation to find the side number is:
(interior angle total/180)+2.
(1440/180)+2
8+2
10 sides

Answer 2

Answer:

10 sides.

Step-by-step explanation:

Given : The sum of the measures of the interior angles is 1,440 degrees.

To Find: How many sides does the polygon have?

Solution:

Let n be the number of sides .

Formula : $(n-2) \times 180^{\circ} =\text{Sum of all interior angles}$

We are given that The sum of the measures of the interior angles is 1,440 degrees.

Substitute the value sin the formula .

$(n-2) \times 180^{\circ} =1440$

$(n-2) =\frac{1440}{180}$

$(n-2) =8$

$n=8+2$

$n=10$

Thus the polygon has 10 sides.