What's the sum of the measures of the interior angles of a convex nanogon

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09-03-2017
Mathematics

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What's the sum of the measures of the interior angles of a convex nanogon

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xboxyolo102 xboxyolo102 · Answer 1 · 2017-03-09T02:42:34+01:00

xboxyolo102 xboxyolo102

09-03-2017

you need to find the measure of one interior angle. You must find the value of the exterior angle and subtract that from 180 degrees (they are supplementary:_/_).The formula to find the value of an exterior angle is 360/n where n is the amount of sides

360/9=40

subtract from 180

180-40=140

multiply 9 (there is 9 angles)
140*9=1260 degrees

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