Question

in the parralalogram abcd given that angle d =65degree. find the measures of angle a, angle b and angle c.​

Answer 1

Answer:

In a parallelogram, the opposite sides and angles are equal.

hence ∠D = ∠B = 65°

and ∠A = ∠C = x

The sum of all sides of a parallelogram is 360°

So, ∠A + ∠B + ∠C + ∠D = 360°

x + 65° + x + 65° = 360°

x + x + 65° + 65° = 360°

2x + 130° = 360°

2x = 360° - 130°

2x = 230

x = 230°/2

x = 115°

Hence ∠A = 115°

∠B = 65°

∠C = 115°

∠D = 65°

Hope it helps