Find the sum of the measures of the interior angles of the figure.

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Find the sum of the measures of the interior angles of the figure. explain your steps class=

Verified Answer :

The sum of the interior angles of a polygon with n sides is given by 180•(n-2).
So for a hexagon, n=6 and the sum of the angles is
180•4 = 720 degrees

Answer:Sum of all interior angle is 720 degree.

Step-by-step explanation:

Given : Figure with six sides.

To find : Find the sum of the measures of the interior angles of the figure.

Solution : We have given that a hexagon with 6 sides.

By the angle sum property of polygon :

Sum of all interior angle of any polygon = 180 (n-2), where n = number of sides.

On plugging n = 6

Sum of all interior angle of polygon = 180 (6-2)

Sum of all interior angle of polygon = 180 * 4

                                                                  = 720 degree.

Therefore , Sum of all interior angle is 720 degree.