
Two adjacent angles of a parallelogram are in the ratio . Find the measure of each of its angles.

Important Questions on Parallelograms
Two adjacent angles of a parallelogram are and . Find the value of and hence find the measure of each of its angles.

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

Two sides of a parallelogram are in the ratio . If its perimeter is , find the lengths of its sides.

The perimeter of a parallelogram is . If one of the sides is longer than the other by , find the length of each of its sides.

In the adjacent figure, is a rectangle. If and are perpendiculars from and on , prove that . Is it true that ?

In the adjacent figure, is a parallelogram and line segments and bisect the angles and respectively. Show that .

The lengths of the diagonals of a rhombus are and respectively. Find the length of each of its sides.

In the given figure, is a square. Find the measure of .
