3 years ago

Is andies solution correct

Mathematics

1 answer:

Nadusha1986 [10]3 years ago

3 0

The solution is correct.

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The measure of an interor angle of a regular polygon is given. Find the number of sides in the polygon.

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Let side be n

$\\ \sf\longmapsto 120n=(n-2)180$

$\\ \sf\longmapsto 120n=180n-360$

$\\ \sf\longmapsto -60n=-360$

$\\ \sf\longmapsto n=6$

$\\ \sf\longmapsto 160n=(n-2)180$

$\\ \sf\longmapsto 160n=180n-240$

$\\ \sf\longmapsto -20n=-240$

$\\ \sf\longmapsto n=12$

$\\ \sf\longmapsto 144n=(n-2)180$

$\\ \sf\longmapsto 144n=180n-360$

$\\ \sf\longmapsto -36n=-360$

$\\ \sf\longmapsto n=10$

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Step-by-step explanation:

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