A 10-sided polygon has all its angles equal. How much is each external angle?

Open in App

Solution

Total number of sides of the given polygon = 10

We know that in a polygon, the sum of all the external angles = 360°

Given: All the external angles of the given polygon are equal in measure.

Let the measure of each external angle of the given polygon be x°.

⇒10x = 360°

⇒ x = 36°

Thus, the measure of each external angle of the given polygon is 36°.

Suggest Corrections

Similar questions

Each external angle of a polygon is 20°. How many sides does it have?

The sum of the angles of a polygon and the sum of its external angles are equal. How many sides does it have?

The exterior angle of a regular polygon is one – third of its interior angle. How many sides has the polygon?

Join BYJU'S Learning Program