garcialilliana2
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A company is manufacturing a gear in the shape of a regular polygon. The measure of each angle of the gear is 162º. How many sides does the gear have? 19 18 20 21

Respuesta :

(n-2)180/n=162,
162n=(n-2)180,
162n=180n-360
18n=360
n=20
Hope this helps
mwcheermom
Ok so here goes
\(162=(n-2)*\dfrac{180}{n}\\162n=180(n-2)\\162n=180n-360\\-18n=-360\\18n=360\\n=20\)

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