Question

The sum of the measures of the interior angles of a triangle is 180°. The sum of the measures of the interior angles of a quadrilateral is 360°. The sum of the measures of the interior angles of a pentagon is 540°. What is the measure of the sum of the interior angles of an octagon?

Answer 1

Answer: 1080 degrees

Step-by-step explanation:

Since the general formular is

(n - 2 )180 = interior angle.

Where n is the number of sides the polygon has.

Octagon has 8 sides so therefore n= 8.

(8-2 ) * 180

= 6 * 180

=1080.

The total number of the interior angles measured is 1080 degrees.