Question

In a pentagon ABCDE the angles A,B,C,D,E are in the ratio 1:2:3:4:5 find the measure of each angle of the pentagon (sum of interior angles of a pentagon is 540)

Answer 1

Step-by-step explanation:

Here's the solution. Hope it will help you

Answer 2

Answer:

1*36 = 36°

2*36 = 72°

3*36 = 108°

4*36 = 144°

5*36 = 180°

Step-by-step explanation:

Let the ratios be subsituted as x.

Adding all the parts in the ratio

∴ 1x+2x+3x+4x+5x = 540°

15x = 540°

x = 36°

1*36 = 36°

2*36 = 72°

3*36 = 108°

4*36 = 144°

5*36 = 180°