Question

One angle of a regular polygon is 156 degree . what is one outer angle ? what is the number of sides of the polygon ​

Answer 1

Step-by-step explanation:

Since the interior angle is 156°, the exterior angle will be = 180°-156° =24°. We know that the number of sides of a regular polygon is given by 360°/ each exterior angle, we get 360°/24° = 15. The regular polygon has 15 sides.

Answer 2

Step-by-step explanation:

• Since the interior angle is 156°,
• the exterior angle will be = 180°-156°
• =24°.
• We know ,
• that the number of sides of a regular polygon is 24
• given by,
• 360°/ each exterior angle,
• we get,
• 360°/24°
• = 15
• The regular polygon has 15 sides.