Question

4 The sum of two opposite angles of a parallelogram is 60°. Find the measure of each of its angles.​

Answer 1

Answer:

Let the angle be x

So, Because the sum of two opposite angles is 130

So, Let the x

X+x=130

X=65

So, Again assume that angle is x

65+65+x+x=360

2x=360-130

2x=230

X=115

So, 1st angle is 65

2nd angle is 65

3rd angle is 115

4th angle is 115

I hope this will help you

Answer 2

Answer:

opposite sides are equal

∠A = ∠C

∠A + ∠B = 30°

2∠A = 60°

∠A = 60°/2 = 30° = ∠B

Adjacent angles if a parallelogram are supplementary

∠A + ∠B = 180°

30° + ∠B = 180°

∠B = 180° - 30° = 150°

∠B = ∠D =  150°