Question

Find the measures of each exterior angle of rectangular polygon with 15 sides.​

Answer 1

Answer:The measure of exterior angle of 15 -sided polygon =36015=24.

Step-by-step explanation:

Answer 2

Solution :-

Given:

• The polygon has 15 sides

To find:

Measure of each exterior angle = ?

Solution:

We know that:

The sum of all exterior angles of a regular polygon is 360°

Since the polygon has 15 sides the measure of exterior angle for each side is to be found out.

For this let's apply the concept of ratio and proportion.

• 15 sides → 360°
• 1 side → ?

This can also be written as:

15 : 360 :: 1 : x

⇒ 15x = 360

⇒ x = 360 ÷ 15

⇒ x = 24°

∴ Measure of each exterior angle = 24°