Question

one angle of a regular polygon is 168.how many sides does it have

Answer 1

QUESTION ---- one angle of a regular polygon is 168.how many sides does it have

ANSWER -----

FORMULA :
Each Interior Angle =
180 (n-2) / n. where n is no. of sides

Given Each interior angle = 168°

168 = 180n - 360 / n

168n = 180n - 360

180n - 168n = 360

12n = 360

n = 30


No. of sides = 30

>>>>>>>>>>>>>>>>>>>>
ANSWER = 30 sides
>>>>>>>>>>>>>>>>>>>>

Answer 2

Answer:
360÷12°=30side

Explanation:

The only number that stays the same for the angles of all polygons is that the sum of the exterior angles is 360°.
If you know the size of an exterior angle(θ) in a regular polygon you can find the number of sides:

360°÷θ=number of sides

If you know the number of sides (n) you can find the size of each exterior angle of a regular polygon.

360÷n=θ

Interior angle 168°→
exterior angle=180°−168°=12°

360÷12°=30sides.