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(100 POINTS!) The measures of the exterior angles of an octagon are x°,2x°,3x°,4x°,5x°,6x°,7x°, and 8x°. Solve for X.

(100 POINTS!) The measures of the exterior angles of an octagon are x°,2x°,3x°,4x°,5x°,6x°,7x°, and 8x°. Solve for X.
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(100 POINTS!) The measures of the exterior angles of an octagon are x°,2x°,3x°,4x°,5x°,6x°,7x°, and 8x°. Solve for X.

(100 POINTS!) The measures of the exterior angles of an octagon are x°,2x°,3x°,4x-example-1
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User Mateostabio
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Answer:

The exterior angles of an octagon add up to 360°. So, 8x° = 360°, and x = 45°.

answered
User Frankieta
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\textit{sum of all exterior angles in a polygon}\\\\ S=360^o \\\\[-0.35em] ~\dotfill\\\\ x+2x+3x+4x+5x+6x+7x+8x=360\implies 36x=360 \\\\\\ x=\cfrac{360}{36}\implies x=10

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User Kmccoy
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