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Q: One exterior angle of a regular polygon measures 30 degrees what is the sum of the polygon's interior angle measures?

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Providing that it is a regular hexagon then the each interior angle measures 120 degrees and each exterior angle measures 60 degrees

Interior angle = 120 degrees Exterior angle = 60 degrees

Subtract the interior angle by 360 degrees

360 degrees

Interior Angles: n-2 (n is number of sides) ____ 180 Exterior angles are always 360 degrees.

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1260 degrees

It is a 9 sided nonagon and its 9 interior angles add up to 1260 degrees

Exterior angle measures 18 degrees Interior angle measures 162 degrees

180 degrees

Providing that it's a regular polygon then its interior angles will add up to 1260 degrees with each of its 9 interior angles measuring 140 degrees.

Each exterior angle measures 20 degrees Each interior angle measures 160 degrees

Providing that it is a regular hexagon then the each interior angle measures 120 degrees and each exterior angle measures 60 degrees

octagon

Interior angle = 120 degrees Exterior angle = 60 degrees

Subtract the interior angle by 360 degrees

Each interior angle measures 150 degrees Each exterior angle measures 30 degrees

Providing that it is a regular nonagon then each exterior angle measures 40 degrees and each interior angle measures 140 degrees

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