Question

how many sides does a regular polygon have if the measure of an exterior angle is 24°??
plz help me ​

Answer 1

24×?=360

let the no. be x

therefore ,

x=360÷24 =15

Answer 2

Answer:

Number of sides=15

Step-by-step explanation:

Method 1 : Here you can use direct formula

Number of sides=360/exterior angle

=360/24=15

Method 2:

exterior angle=24

so interior angle=180-24=156

Let no of sides=n

then 156=(2n-4)90/n

156n=180n-360

180n-156n=360

24n=360

n=360/24

=15

hence Number of sides=15

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