Question

find each angle of a parallelogram if two consecutive angles are in the ratio 1 is to 3

Answer 1

let the consecutive angles of parallelogram be x and y.
we know that sum of interior angles of a parallelogram = 360
x+y+x+y = 360
2x +2y=360
x+y= 180..............(i)
now ,
ATQ
x:y =1:3
x/y =1/3
y =3x.........................(ii)
putting the value of ii in i
x+3x = 180
4x = 180
x = 45
now, y = 45×3
y = 135