One angle of a regular polygon is 168 degree . How many sides does it have?
Answers
Answered by
3
Step-by-step 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
°
=
30
sides.
Answered by
4
Answer:
The interior angles are 168°, so the exterior angles are 180° - 168° = 12°. The exterior angles add up to 360°, so if we divide 360° by 12° we find there are 30 exterior angles. Therefore, there are 30 sides . .
Step-by-step explanation:
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