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

Question

Gisselle Garrison

Mathematics

17 March, 00:08

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

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Answers (1)

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Frank Patel · 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.