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Solve the polygon for x

asked Dec 26, 2023 12.4k views

15 votes

Solve the polygon for x

Solve the polygon for x-example-1

Mathematics
high-school

5.4k points

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1 Answer

9 votes

Octagon has sum of angles 1080°

$\\ \rm\Rrightarrow 5(10x+15)+2(14x)+6x-3=1080$

$\\ \rm\Rrightarrow 50x+75+28x+6x-3=1080$

$\\ \rm\Rrightarrow 84x+72=1080$

$\\ \rm\Rrightarrow 84x=1008$

$\\ \rm\Rrightarrow x=1008/84$

$\\ \rm\Rrightarrow x= 12$

Mohamed MILADI answered Dec 31, 2023

by Mohamed MILADI

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