Question

Two consecutive angles of a parallelogram are [x+60] and [2x+30] . find these angles.

Answer 1

As the sum of 2 consecutive anges in a parallelogram are supplementary

So,

X+60+2x+30=180

3x+90=180

3x=90

X=30

Angle1=. X+60=30+60=90degrees

Angle2=. 2x+30=2*30+60=60+60=120degrees

Answer 2

Two angles of a parallelogram is equal to 180 degree

 Since it is consecutive x + 60 + 2x + 30 = 180

           3 x + 90 =180

          3x = 90 or x = 30 degree

 Substituting

          x + 60 = 30 + 60 = 90 degree

          2 x + 30 = 2(30) + 30 = 60 + 30 = 90 degree