The Number of diagonals of a regular polygon which has an interior angle 144° is _______
Answers
Answered by
0
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
2
Answer:
There can be 2 diagonals drawn in a given regular polygon. 3. The measure of each interior angle of a regular polygon is 144°. 4.
Step-by-step explanation:
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