Question

the sum of two opposite angle of pallelogram 130 find all angles of parallelogra​

Answer 1

The sum of two opposite angles of a parallelogram is 130°. Find all the angles of the parallelogram. As one of the property of the parallelogram says that opposite angles of a parallelogram are equal. We know that sum of all angles of parallelogram (quadrilateral) = 360°.

Let ABCD is a parallelogram.

∠ B + ∠ D = 130°

∠B + ∠B = 130° (Opposite angles of parallelogram are equal)

∠B = 65°

∠D = 65°

Now, ∠B + ∠C = 180° (sum of any two adjacent angles of a parallelogram is 180°)

∠C = 180° - ∠B = 115°

Now, ∠A = ∠C = 115° (Opposite angles of parallelogram are equal)

Therefore, ∠A = 115°, ∠B = 65°, ∠C = 115° and ∠D = 65°.