Question

Please answer with full process...

Answer 1

Hi friend!

The exterior angle of a regular polygon is one-third of its interior angle.

Ratio = 1:3
¼ of 180° = 45° (as we know that interior angle + exterior angle = 180°)

Sum of all exterior angle = 360°
Each exterior angle = 45°
No. of sides = ?

No. of sides =
$\frac{s}{e}$
Where s = sum
and e = each

$= \frac{360}{45} \\ \\ = 8 \: sides$
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