Question

Please answer me my questions and correct don't fake answer I will report you okay ​

Answer 1

Answer:

Yes, exists. Do-decagon (12 sided)

Step-by-step explanation:

Given, exterior angle = 30°

⇒ Each interior angle = 180° - 30° = 150°

∵ Each interior angle of a regular polygon = Sum of all angles / No. of sides

Also, Sum of all angles = (2n - 4) * 90°

⇒ Each interior angle = (2n - 4) * 90° / n

⇒ 150° = (2n - 4) * 90° / n

⇒ 150n = 180n - 360   [Cross multiplication]

⇒ 180n - 150n = 360

⇒ 30n = 360

⇒ n = 12

Hence, we can conclude that such type of polygon exists and it has 12 sides.