The measure of one interior angle of a regular polygon is 144°. How many sides does the polygon have?
Answers
Answered by
1
Step-by-step explanation:
Exterior angle = 180 - Interior angle = 180 - 144 = 36
Total sum of the exterior angles of a polygon = 360
Therefore no. of sides
N
=
360
36
=
10
It’s a decagon.
Aliter :
A polygon with N sides will have the sum of the interior angles =
(
2
N
−
4
)
right angles
∴
144
⋅
N
=
(
2
N
−
4
)
⋅
90
144
N
−
180
N
=
−
360
36
N=360
N=10
It’s a polygon with 10 sides.
Answered by
0
Answer:
36
Step-by-step explanation:
180-144=136
It is a rule
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