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Find the Sum of the interior angles of each polygon.
FORMULA: Ｓ＝１８０（ｎ−２）
1. octagon
2. pentagon
3. hexagon
[tex]\ \textless \ br /\ \textgreater \ Find the \tt\underline{Sum of the exterior angles}[/tex]
of each polygon
5. octagon
6. pentagon
Find the Sum of the interior angles of each polygon.
FORMULA: Ｓ＝１８０（ｎ−２）
1. octagon
2. pentagon
3. hexagon
[tex]\ \textless \ br /\ \textgreater \ Find the \tt\underline{Sum of the exterior angles}[/tex]
of each polygon
5. octagon
6. pentagon
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Answer:
1. The sum of the interior angles in a regular polygon is given by the formula 180(n – 2), where n is the number of sides in the polygon. An octagon has eight sides, so the sum of the angles of the octagon is 180(8 – 2) = 180(6) = 1080 degrees. Because the octagon is regular, all of its sides and angles are congruent.
2.
3. the general formula to find the sum of interior angles of any polygon is: 180(n−2) where n is the number of side of the polygon.Since hexagon has 6 sides, then the sum of interior angles is 180(6−2)=180×4=720