Question

. Five angles of a Pentagon are in the ratio 5:6:7: 8:10. Find all the angles of the pentagon.​

Answer 1

sum of each triangle interior angle =180 (triangle property)

so sum of angles of Pentagon =3*180

n=no of sides=5

Step-by-step explanation:

let take the sum of all angles

5x+6x+7x+8x+10x=36x

property of Pentagon

sum of angles=(n-2)*180 degree =(5-2)*180= 3*180

so,

36x=3*180

by solving this you get

x=15

5x=5*15=75

similarly you get all angles

Ans : 75,90,105,120,150