Question

Two adjacent angles of a parallelogram ABCD are in the ratio 1:5 and AD = 24, BC= 2y+8. Find all the angles of the parallelogram and the value of ' y '

Answer 1

let the unit ratio be x so angles are 1x, 5x.

1x+5x=180

6x = 180

x = 30

angles are 30? 150.

diagonals are equal so,

AD = BC

2y+8=24

2y=16

y=8.