Question

In the adjacent figure, you have a star ABCDEFGHKL. All the sides of the star are equal. What is the measure of angles at the vertices A, C, E, G and K?

Answer 1

Given ABCDEFGHKL is the coordination's of a star.

As all the sides are equal.

The sum of interior angles of a $10$ sides figure

$=1440°$

$\therefore$ The measure of $\angle A=144°$

$\Rightarrow$ Similarly $\angle C=144°,$ $\angle E=144°$

$\angle G=144°$ and $\angle K=144°$

As all the sides are equal. All the angles are equal.

Hence, the answer is solved.