The sum of two opposite angles of a parallelogram is 130°. Find the measure of each of its angles.

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°.


6