Question

What is the sum of the measures of the interior angles of a heptagon?

Answer 1

Answer: 900°

Step-by-step explanation: In this problem, we are asked to find the sum of the measures of the interior angles of a heptagon. Remember that a heptagon is a polygon that has 7 sides.

This means we can use our formula for finding the sum of the measures of the interior angles of a polygon.

Formula ⇒ 180 (n - 2)

Since a heptagon has 7 sides, we can plug a 7 in for the n in our formula.

180 (7 - 2)

180 (5)

900

Therefore, the sum of the measures of the interior angles of a heptagon is 900°.

The work is also provided in the image that I attached.

Answer 2

Sum of angles in a polygon

(n - 2)*180 where n = number of sides.

For heptagon, number of sides is 7, therefore n = 7

(n - 2)*180

(7 - 2)*180

5*180

900

Sum of measures of angles in Heptagon = 900 degrees.