Question

the measures of two adjacent angles in a parallelogram are in to ratio 7:9.find the measures of all the angles of a parallelogram

Answer 1

let the ratiosbe x. 7x and 9x.a angle 1+angle2=180. so 7x+9x=180.=11.25.so angle1=7×11.25=78.75.angle2=11.25×9=101.25.
angle2+3=180=101.25-180.angle3=78.75.angle3+angle4=180-78.75 =101.25.angle1=11.25angle2=78.7 5