Question

The angles of a pentagon sre in the ratio 2:4:2:1:1 if the total measure of the angles of a pentagon is 540 degree. What are the measures of each angle

Answer 1

Answer:

Step-by-step explanation:Given,angles of a pentagon are in the ratio 2:4:2:1:1. The sum of all angles is 540degree

Let the angles be 2x,4x,2x,1x and 1x.so 2x+4x+2x+1x+1x=540°.so 10x=540°.so x=54°. Now substitute in 2x,4x,2x,1x and 1x. So 2x=108°,4x=216°,2x=108°,1x=54° and 1x=54°.

Answer 2

heya,

let each angle of the penatgon be x,2x,4x,x,2x respectively.

now,according to angle sum property of a pentagon

x + 2x + 4x + x + 2x = 540

x+2x+4x+x+2x=540

thus,

10x = 540

10x=540

hence,

x = 54

so,angle of pentagon is 54°,108°,216°,54°,108°. Ans.

Thanks

KSHITIJ