Question

prove that the sum of all side of a parallelogram is 360°​

Answer 1

To find interior angles formula:( 2n-4)90

n= number of sides.

the number of sides of a parallelogram=4=n

(2n-4)90

(2*4-4)90

(8-4)90

4*90

360

Answer 2

OLA!

@SadSoul here with your question's solution

Generally sum of all outer angles of any polygon is 360

also the sum of all interior angles of parallelogram is

= 180(n-2) n is no of sides

= 180 (4-2)

= 360

so each interior angles will have 360 / 4

= 90

and interior angles and exterior angles form linear angle

180= exterior angle+ interior angle

180 = x + 90

180 - 90 = x

90 = x

so all other exterior angle will 90

90 * 4 = 360

so hence it is proved ✌

Follow @SadSoul❤✌