Question

(35 points) question and options in screen shot below.

Answer 1

To find the sum of the interior angles of a polygon with 14 sides, you can use the formula (n - 2) * 180 degrees, where n represents the number of sides of the polygon.

Let's go through the options:

A) 14(180) - 2: This expression is incorrect because it subtracts 2 from the product of 14 and 180, which is not the correct formula for finding the sum of interior angles.

B) 180(14-2): This expression is correct! It correctly subtracts 2 from 14 and then multiplies the result by 180, giving you the sum of the interior angles.

C) 180(14) - 180: This expression is incorrect because it subtracts 180 from the product of 180 and 14, which is not the correct formula for finding the sum of interior angles.

D) 180(14): This expression is incorrect because it only multiplies 180 by 14, without subtracting 2 or using the correct formula.

Therefore, the correct expression to find the sum of the interior angles of a polygon with 14 sides is B) 180(14-2).

Answer 2

`\sf 180(14-2)`

Explanation:

The formula to find the sum of interior angles of a polygon with
`\sf n` sides is given by:

`\sf \textsf{Sum of Interior Angles} = (n - 2) * 180^\circ`

In this case, we have a polygon with 14 sides, so substitute
`\sf n = 14` into the formula:

`\sf \textsf{Sum of Interior Angles} = (14 - 2) * 180`

Now simplify:

`\sf \textsf{Sum of Interior Angles} = 12 * 180`

Therefore, the correct expression is
`\sf 180(14-2)`.