Question

One angle of a pentagon is 140∘140∘. if the remaining angles are in the ratio 1:2:3:4, find the size of the greatest angle.

Answer 1

THE SUM OF ALL ANGLES IN A PENTAGON IS 540
140+x+2x+3x+4x=540
10x=540-140
x=400/10
x=40
x=40
2x=2*40=80
3x=3*40=120
4x=4*40=160
THE GREATEST ANGLE IS 160=4x

Answer 2

Answer:160

Step-by-step explanation:

number of sides of a pentagon=5

(n-2)180

(5-2)×180

3×180

540

Let the angles ne x 2x 3x 4x

Then

x +2x +3x +4x+140=540

x +2x +3x +4x=540-140

x +2x +3x +4x=400

10x=400

x=40

Greatest angle =4x=4(40)=160