Questions: Find the sum of the interior angle measures of a convex octagon (an eight-sided polygon). Sum of the interior angle measures = [ ]°

Find the sum of the interior angle measures of a convex octagon (an eight-sided polygon). Sum of the interior angle measures = [ ]°
Transcript text: Knowledge Check Question 13 Find the sum of the interior angle measures of a convex octagon (an eight-sided polygon). Sum of the interior angle measures = []° I Don't Know Submit
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Solution

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To find the sum of the interior angle measures of a convex octagon, we can use the formula for the sum of the interior angles of a polygon, which is:

\[ \text{Sum of interior angles} = (n - 2) \times 180^\circ \]

where \( n \) is the number of sides of the polygon.

For an octagon, \( n = 8 \). Plugging this into the formula gives:

\[ \text{Sum of interior angles} = (8 - 2) \times 180^\circ = 6 \times 180^\circ = 1080^\circ \]

Therefore, the sum of the interior angle measures of a convex octagon is 1080°.

Sum of the interior angle measures = 1080°

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