Question

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

Answer 1

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

Answer 2

`\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`