Question

an exterior angle and interior angle of a regular polygon are in the ratio 2:7.find the number of sides in the polygon

Answer 1

Answer:

9 is the total side of the polynomial

Step-by-step explanation:

So, firstly

given,

ratio of the angle of a polynomial=2:7

then,

to find,

no. of sides of a polygon

then,

1.Let,the common multiple be x

2x+7x=180° (linear pair)

9x=180°

x= 180/9

x=20

then,

each angle= 2x= 2×20

=40°

7x= 7×20

= 140°

so,

formula for exterior angle=360/n

where, n is equal to no.of side of polygon

then,

360/n=40°(exterior angle)

so,

n=9

Hope it was help ful