Respuesta :
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.
(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.
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.