Question

The five angles of a Pentagon are in ratio 5:6:7:8:10Find all the angles.​

Answer 1

Answer:

Step-by-step explanation:

let the angle be x

5x+6x+7X+8x+10x=360

36x=360

x= 10

5 = 50

6=60

7=70

8=80

10=100

Answer 2

Step-by-step explanation:

it is given in the question that the angles in pentagon are in ratios so that we can write angles in this form,

5x + 6x + 7x + 8x + 10x............................................................(1)

and we know that in pentagon sum of all angles is 540 so that

5x + 6x + 7x + 8x + 10x = 540

36x = 540

x = 540/36

so x = 15

so angles of pentagon are

put the value of x in equation (1)

5(15) = 75

6(15) = 90

7(15) = 105

8(15) = 120

10(15) = 150

the angles of pentagon are 75, 90, 105, 120, 150.