Question

The angles of a pentagon are in the ratio 2:4:2:1:1. If the total measure of the angle of a pentagon is 540 degrees, what are the measures of each angle

Answer 1

let the angles be 2x, 4x, 2x ,x ,x

therefore sum of angles is
2x+4x+2x+x+x=540°
10x=540°
x=54°


2x=108°
4x=216°

the angles are 108°, 216°, 108°, 54°, and 54° .


hope it is helpful

Answer 2

let the angles be 2x;4x;2x;1x;1x
A.T.Q.
=>2x+4x+2x+1x +1x=540°
=> 10x =540°
=> x =540/10
=> x =54°
•°•req. angles= 2x;4x;2x;1x;1x
= 2×54;4×54;2×54;1×54;1×54
= 108; 216 ; 108 ;54 ;54