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Q: What is the sum of the polygons interior angle measures if the exterior angle measures 40 degrees?

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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

540 degrees

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