Question

Find the number of sides of a regular polygon whose each exterior anlge measures
(a) 45°
(b) 40°
(c) 60°
(d)120°​

Answer 1

Answer:

45° is the ans for this hope it will be useful

Answer 2

Before, finding the answer. Let's find out on how we can find the answer :

• Let's know that,

⇒ Sum of all exterior angles of a regular polygon is 360°.

So to find the side, we must divide the given exterior angle with 360°.

• number of sides = 360° / given exterior angle

________________________

⇒ (a) 45° :

Given :

• Sum of all exterior angles = 360°
• Exterior Angle = 45°

To find :

• number of sides

Solution :

Number of sides = 360° / given exterior angle

                            = 360°/45°

                            = 8

Therefore, number of sides of the Polygon is 8.

⇒ (a) 40° :

Given :

• Sum of all exterior angles = 360°
• Exterior Angle = 40°

To find :

• number of sides

Solution :

Number of sides = 360° / given exterior angle

                            = 360°/40°

                            = 9

Therefore, number of sides of the Polygon is 9.

⇒ (a) 60° :

Given :

• Sum of all exterior angles = 360°
• Exterior Angle = 60°

To find :

• number of sides

Solution :

Number of sides = 360° / given exterior angle

                            = 360°/60°

                            = 6

Therefore, number of sides of the Polygon is 6.

⇒ (a) 120° :

Given :

• Sum of all exterior angles = 360°
• Exterior Angle = 120°

To find :

• number of sides

Solution :

Number of sides = 360° / given exterior angle

                            = 360°/120°

                            = 3

Therefore, number of sides of the Polygon is 3.