Is it possible to have a regular polygon each of whose interior angle is 130°
give me steps
Answers
Answered by
0
Answer:
Step-by-step explanation:
If the interior angle is
130
°
then the exterior angle will be
50
°
The sum of the exterior angles is always
360
°
and we can use this fact to find the number of sides.
360
°
÷
50
°
=
7.2
sides
The number of sides has to be a natural number, so
7.2
is not possible, therefore
130
°
is not possible for the angles of a regular polygon.
Also consider the interior angles of regular polygons.
Pentagon:
540
5
=
108
°
Hexagon:
720
6
=
120
°
Heptagon:
900
7
=
128.57
°
Octagon:
1080
8
=
135
°
There is no polygon between one with 7 sides and one with 8 sides.
130 ANGLE IS NOT POSSIBLE
ANSWERED BY GAUTHMATH
Attachments:
Answered by
0
Answer:
it is not possible explanation in pic
Attachments:
Similar questions