Question

if one angle of a parallelogram is added to its opposite angle the sum is 120 degree then find its all angle

Answer 1

Hello

Let the angle = x
We know that opposite angles of parallelogram are equal
So it means
x + x = 120
2x = 120
x = 60

therefo one angle is 60 degree and opp. angle is also 60 degree


We also now that adjcent angles of parallelogram are supplementry
let adjcent angles = y

60 + y = 180
y = 120



therefore all the angle are 60, 120 ,60, 120


hope it helps