Question

Two adjacent angles of parallelogram are in the ratio 4:5 find all the angle of the parallelogram

Answer 1

sum of adjacent sides of a parallalogram=180
4x+5x=180
9x=180
x=20
angle 1=4×20=80
angle 2=5×20=100
angle 3=80
angle 4=100

Answer 2

Let the angles be '4x'and '5x' respectively

∵ sum of adjacent angles of a parallelogram = 180°

∴ 4x + 5x = 180°

or, 9x = 180°

∴ x = 180°/9 = 20°

∴ the angles will be (4×20°) & (5×20°), i.e , 80° and 100° respectively

∵ opposite angles of a parallelogram are equal

∴ all angles will be 80°,100°,80° & 100° 

HOPE IT HELPS ................... :)