Question

The interior angle of a regular polygon is 162 degrees. how many sides does the polygon have. Show the working​

Answer 1

Answer:

20 sides

Step-by-step explanation:

Interior angle + exterior angle= 180

So,

let the unknown exterior angle be x

$162 + x = 180\\x = 180-162\\x = 18 \degree$

Now,

360 / size  of    the exterior    angle = number of sides of the polygon

                                                            $=\frac{360}{18} \\=20 sides$

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