Question

1. The angles of a pentagon are in the ratio 4:8:4:2:2. If the total measure of the
angles of a pentagon is 540°, what are the measures of each angle?​

Answer 1

Answer:

Let all the angles be 4 x ,8 x ,4 x , 2 x and 2x.

4x + 8x + 4x + 2x + 2x = 540

20x = 540

x= 540/20

x= 27.

Therefore,

4x= 4×27 = 108 .

8x= 8×27 = 216 .

4x= 4×27 = 108 .

2x= 2×27 = 54 .

2x= 2×27 = 54 .

Therefore, the angles of the Pentagon are 108°, 216°, 108°, 54° and 54°. :)