Question

find the number of sides of a regular polygen if each interior angle is 160 degree

Answer 1

Step-by-step explanation:

A regular polygon have 18 sides.

Given : Interior angles of regular polygon is 160°

To Find : How many sides does a regular polygon have?

Solution:

Interior angle = 160°

Formula for calculating no. of sides of regular polygon:

180 \times \frac{n-2}{n}=\text{interior angle}180×

n

n−2

=interior angle

180 \times \frac{n-2}{n}=160180×

n

n−2

=160

18 \times \frac{n-2}{n}=1618×

n

n−2

=16

9 \times \frac{n-2}{n}=89×

n

n−2

=8

9n-18=8n9n−18=8n

n=18n=18

Hence a regular polygon have 18 sides

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