Question

Find the find the number of sides of a regular polygon whose each exterior angle has a measure of 45°

Answer 1

✳️✳️✳️✳️✳️✳️✳️✳️✳️✳️✳️✳️✳️

Sum of the exterior angles of regular polygon = 360° 

But each exterior angle = 45°

Number of sides of regular polygon = 360° / 45° = 8.

Answer: 8

✳️✳️✳️✳️✳️✳️✳️✳️✳️✳️✳️✳️✳️

Answer 2

Holla ^_^

☸ Required Answer is ⬇ ⬇⬇ ⬇

⭐ Given,
Each exterior angle = 45°

A.T.Q

✨ The sum of all exterior angle of a polygon = 360°

No. of sides = Sum of exterior angles / Given angle

= 360°/45°

= 8

Therefore, the total no. of sides of given polygon is 8 .


Vielen Dank ♥