Question

A) Determine the number of sides of a polygon whose exterior and interior angles are in the ratio of 1: 5

Answer 1

Sum of exterior and interior angle is 180

$Ratio=1:5$

$x+5x=180$

$6x=180$

$x=30$

$nx=360$

$n\left(30\right)=360$

$n=360/30=12$