how many sides does a regular polygon have if each of its interior angle is 156 degree
Answers
Answered by
18
Hi friend!
Given that:
Each interior angle: 156°
Each exterior angle = 180° - 156° = 24° (Linear pair)
Sum of all exterior angles = 360°
No. of sides = n
No. of sides = n = 15
Hope you found my answer helpful. Keep Smiling!
Given that:
Each interior angle: 156°
Each exterior angle = 180° - 156° = 24° (Linear pair)
Sum of all exterior angles = 360°
No. of sides = n
No. of sides = n = 15
Hope you found my answer helpful. Keep Smiling!
Answered by
12
measure of the each interior angles of regular polygon = (n -2)×180/ n
where "n" is the number of sides of regular polygon .
so now,
(n - 2)180 / n= 156
180n - 360 = 156n
180n - 156n = 360
24n = 360
n = 360 / 24 = 15
n= 15
hence the number of sides will be = 15
note : - this formula can be used to find the measure of each interior angles of regular polygon if you have given number of sides.
★★hope it helps ★★
where "n" is the number of sides of regular polygon .
so now,
(n - 2)180 / n= 156
180n - 360 = 156n
180n - 156n = 360
24n = 360
n = 360 / 24 = 15
n= 15
hence the number of sides will be = 15
note : - this formula can be used to find the measure of each interior angles of regular polygon if you have given number of sides.
★★hope it helps ★★
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