Question

If the angles of a pentagon are in ratio 7:8:11:13:15 find all the interior angles

Answer 1

Sum of interior angles of a quadrilateral= 360 degree

Let the constant be x-

Hence,

7x+8x+11x+13x+15x = 360

54x = 360

X=360/54

X=20/3

Putting this value-

7x = 7×20/3

=140/3 degrees (u can convert it into decimal)

8x = 8×20/3

=160/3 degrees

11x=11×20/3

=220/3 degrees

13x=13×20/3

=260/3 degrees

15x=15×20/3

=100 degrees

U can convert all the fractions into decimals to get exact answer...

Hope it helps you!

: )