Question

Arrange the following regular polygon in ascending order as per the measure of their external angles.

• A. Triangle
• B. Hexagon
• C. Quadrilateral
• D. Pentagon

Answer 1

We know that,
Sum of all external angles of any polygon is always ${360}^0$.

So, Measure of external angle of each polygon
$=\frac{{360}^0}{\text{Total number of sides}}$

Measure of each external angle of triangle
$=\frac{{360}^0}{3}$
$={120}^0$

Measure of each external angle of hexagon
$=\frac{{360}^0}{6}$
$={60}^0$

Measure of each external angle of pentagon
$=\frac{{360}^0}{5}$
$={72}^0$

Measure of each external angle of quadrilateral
$=\frac{{360}^0}{4}$
$={90}^0$