Question

if the ratio of measures of two adjacent angles of a parallelogram is 1 : 2,find the measures of all angles of the parallelogram

Answer 1

let take the parallelogram ABCD
let angle A be x and angle B be 2x[according to your que]
so, x+2x=180
3x=180
x=180÷3
x=60 degree
now we find all its angles,
angle A=x=60 degree
angle B=2x=2×60=120 degree
angle C=x=60 degree[opposite angle are equal in parallelogram,it is opposite angle of angle A]
angle D=2x=2×60=120 degree[here it is opposite angle of angle B]