Math, asked by cbse6615kavyamakati, 26 days ago

find the measure of each exterior angle of a regular polygon of (a) 9 sides.​

Answers

Answered by AestheticDude
11

Answer :-

  • 40° is the answer

Question :-

 \rm \: Find \:  the \:  measure \:  of \:  each \:  exterior \:  angle  \: of  \: a \:  regular  \: polygon \:  of  \: (a)  \: 9  \: sides.

To solve we need to know ?

To solve the following we need to know a formula that is :-

  \rm\rightarrow{ \huge(}\dfrac{360°}{n}{ \huge)}

*Here n represents No. of sides .

  • No. of sides here → 9 sides

Now, simply putting the No. of sides in n and finding out :-

 \mapsto{\huge(}\dfrac{360°}{9}{ \huge)}^{°}

 \mapsto{\huge(} \cancel\dfrac{360°}{9}{ \huge)}^{°}

 \mapsto \bf40°\star

 \sf \therefore Measure \:  of  \: each \:  exterior  \: angle \:  of  \: a \:  regular \:  polygon  \: of  \: 9  \: sides \:  is  \:  \bf40°

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