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

Refer to attachment. BEST ANSWER WILL GET BRAINLY! fake answers will be reported and deleted.

The measure of an interor angle of a regular polygon is given Find the number of sides in the polygon Refer to attachment BEST ANSWER WILL GET BRAINLY fake answ class=

Respuesta :

Let side be n

#1

[tex]\\ \sf\longmapsto 120n=(n-2)180[/tex]

[tex]\\ \sf\longmapsto 120n=180n-360[/tex]

[tex]\\ \sf\longmapsto -60n=-360[/tex]

[tex]\\ \sf\longmapsto n=6[/tex]

#2

[tex]\\ \sf\longmapsto 160n=(n-2)180[/tex]

[tex]\\ \sf\longmapsto 160n=180n-240[/tex]

[tex]\\ \sf\longmapsto -20n=-240[/tex]

[tex]\\ \sf\longmapsto n=12[/tex]

#3

[tex]\\ \sf\longmapsto 144n=(n-2)180[/tex]

[tex]\\ \sf\longmapsto 144n=180n-360[/tex]

[tex]\\ \sf\longmapsto -36n=-360[/tex]

[tex]\\ \sf\longmapsto n=10[/tex]

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