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Chapter 3: Q43. (page 115)

In an octagon the sum of the measures of the interior angles is _?_.

Short Answer

Expert verified

In an octagon the sum of the measures of all interior angles is1080.

Step by step solution

01

Step 1. Find the formula that can be used.

The sum of measures of all interior angles of a convex polygon with n sides =(n−2)×180.

02

Step 2. Find the number of sides of an octagon.

For an octagon, the number of all sides (n)=8.

03

Step 3. Calculate the sum of measures of all interior angles of an octagon.

The sum of all interior angles for n=8

(n−2)×180=(8−2)×180=6×180=1080

Hence, the sum of all interior angles of an octagon is 1080.

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