how many sides does a regular polygon have if the measure of an angle is 120°
Answers
Answered by
1
Answer:
6
Step-by-step explanation:
6 sides does a regular polygon have if the measure of an angle is 120°
Answered by
1
Answer:
6
Step-by-Step explaination:
The formula to find the interior angle of a polygon is
180
(
n
−
2
)
n
(n being the number of sides of the polygon).
Since we know the interior angle of the polygon which is 120, therefore we can produce this equation,
180
(
n
−
2
)
n
=
120
From here we use algebra to solve n.
180
n
−
360
=
120
n
60
n
=
360
n
=
6
∴
Polygon has 6 sides
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