Question

the measures of two adjacent angles of a parallelogram are in the ratio 5:4.Find the measure of each of the angles of the paralellogram

Answer 1

Answer:angle : a=100

                          b=80

                          c=100

                           d=80

Step-by-step explanation:Let the angles be angle 'a' , angle 'b' , angle 'c' and angle 'd'

let the angle 'a; measure=5x

let the angle 'b' measures=4x

5x+4x=180

9x=180

x=180/9

x=20

therefore,angle 'a'=5x=5*20=100

                 angle 'b'=4x=4*20=80

the opposite angles of a paralellogram is equal

so,    angle 'c' = angle 'a' = 100

        angle 'd' = angle 'b'=80