Question

if the angles of a Pentagon are in the ratio 7:8:11:13:15 , what are the angles?

pls explain in detail! ​

Answer 1

Let the angles of Pentagon be 7x, 8x, 11x, 13x and 15x

Sum of all angles of Pentagon is 540°

7x+8x+11x+13x+15x=540°

54x=540

x=540/54

x=10

So,

7x= 7x10=70°

8x=8×10=80°

11x=11x10=110°

13x=13×10=130°

15x=15x10=150°

Therefore, the angles of Pentagon are 70°, 80°, 110°, 130° and 150°