Question

The exterior angles of a Pentagon are given in the ratio 1:2:3:4:5 .find the interior angles of a pentagon

Answer 1

Dear student,

We know , sum of exterior angles of a regular polygon : 360°

Let the angles be x,2x,3x,4x and 5x

15x = 360°

x = 24

So , exterior angles : 24°,48°,72°,96° and 120°

Now , we know an exterior and its corresponding interior angles sum up to 180°

So , correspondence interior angles will be obtained by subtracting these exterior angles from 180°

Interior angles of Pentagon : 156°,132°,108°,84° and 60°

​​​​​​​Regards