Question

one angle of regular polygon is 144 degree. how many sides does it have ?
with formulas
plzz its urgent​

Answer 1

To find the no. of sides, we first need to find the measurement of the exterior angle.
Exterior angle
=
180
∘
−
m. of int. angle
=
180
∘
−
144
∘
=
36
∘
To find the no. of sides, we use the formula
⇒
360
∘
m. of ext. angle
That is, no. of sides
=
360
∘
36
∘
=
10
sides
Hope this helps you..

Answer 2

Sum of angles of a regular polygon = (n-2)×180°

144×n = (n-2)×180°

36n = 360°

n = 10 sides

So,.that polygon is ‘decagon’.