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Find the value of x in the polygon ​

Find the value of x in the polygon ​-example-1
User Rafawhs
by
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1 Answer

9 votes

Answer:

x = 13 5/13°

Explanation:

The sum of angles in a hexagon is 180°(6 -2) = 720°. That means ...

(8x +16°) +(12x -8°) +(7x +2°) +(9x +4°) +(6x +10°) +(10x) = 720°

52x +24° = 720° . . . . . . collect terms

52x = 696° . . . . . . . . subtract 24

x = 13 5/13° . . . . . . divide by 52

_____

Additional comment

The angles, in the same order, are approximately ...

{123.077°, 152.615°, 95.6923°, 124.462°, 90.3077°, 133.846°}

User David Rodrigues
by
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