Question

The sum of the interior angles, s, in an n-sided polygon can be determined using the formula s=180(n−2), where n is the number of sides.
Using this formula, how many sides does a polygon have if the sum of the interior angles is 1,260°? Round to the nearest whole number.

Answer 1

Answer:

The polygon has 9 sides

Step-by-step explanation:

We need to equate the given expression to the given value and solve for n.

The sum of the interior angles, s, in an n-sided polygon is given by the expression:

$s = 180(n - 2)$

We want to use this formula, to calculate how many sides has a polygon if the sum of the interior angles is 1,260°.

We solve the following equation for n.

$180(n - 2) = 1260$

Divide through by 180 to get:

$\frac{180(n - 2)}{180} = \frac{1260}{180}$

$n - 2 = 7$

Add 2 to both sides to get:

$n = 7 + 2$

$\therefore \: n = 9$

Hence the polygon has 9 sides

Answer 2

Answer: d

Step-by-step explanation: