Question

the measures of two adjacent angles of a parallelogram are in the reatio 4:5 , find the measure of each of the angles of the parallelogram

Answer 1

let the adjacent angles of parallelogram be 4x,5x
4x+5x=180.......interior Angles20

9x=180
x=20
4x=4*20=80,5x=5*20=100

the adjacent angles of the parallelogram are 80,100
.:
opposite angles are congruent