ABCD is a parallelogram in which A =110°. Find the measure of each of the angles B, C and D.

Two adjacent angles of a parallelogram are equal. What is the measure of each of these angles?

Two adjacent angles of a parallelogram are in the ratio 4 : 5. Find the measure of each of its angles.

Two adjacent angles of a parallelogram are (3x - 4)° and (3x + 16)°. Find the value of x and hence find the measure of each of its angles.

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

Two sides of a parallelogram are in the ratio 5 : 3. If its perimeter is 64 cm, find the lengths of its sides.

The perimeter of a parallelogram is 140 cm. If one of the sides is longer than the other by 10 cm, find the length of each of its sides.

In the adjacent figure, ABCD is a rectangle. If BM and DN are perpendiculars from B and D on AC, prove that . Is it true that BM = DN?

In the adjacent figure, ABCD is a parallelogram and line segments AE and CF bisect the angles A and C respectively. Show that .

The lengths of the diagonals of a rhombus are 16 cm and 12 cm respectively. Find the length of each of its sides.

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

The sides of a rectangle are in the ratio 5 : 4 and its perimeter is 90 cm. Find its length and breadth.

Name each of the following parallelograms.

(i) The diagonals are equal and the adjacent sides are unequal.

(ii) The diagonals are equal and the adjacent sides are equal.

(iii) The diagonals are unequal and the adjacent sides are equal.

(iv) All the sides are equal and one angle is 60°.

(v) All the sides are equal and one angle is 90°.

(vi) All the angles are equal and the adjacent sides are unequal.

Which of the following statements are true and which are false?

(i) The diagonals of a parallelogram are equal.

(ii) The diagonals of a rectangle are perpendicular to each other.

(iii) The diagonals of a rhombus are equal.

(iv) Every rhombus is a kite.

(v) Every rectangle is a square.

(vi) Every square is a parallelogram.

(vii) Every square is a rhombus.

(viii) Every rectangle is a parallelogram.

(ix) Every parallelogram is a rectangle.

(x) Every rhombus is a parallelogram.

The two diagonals are not necessarily equal in a

The lengths of the diagonals of a rhombus are 16 cm and 12 cm. The length of each side of the rhombus is

Two adjacent angles of a parallelogram are (2x + 25)° and (3x - 5)°. The value of x is

The diagonals do not necessarily intersect at right angles in a

The length and breadth of a rectangle are in the ratio 4 : 3. If the diagonal measures 25 cm then the perimeter of the rectangle is

The bisectors of any two adjacent angles of a parallelogram intersect at

If an angle of a parallelogram is two-thirds of its adjacent angle, the smallest angle of the parallelogram is

The diagonals do not necessarily bisect the interior angles at the vertices in a

In a square ABCD, AB = (2x + 3) cm and BC = (3x - 5) cm. Then, the value of x is

If one angle of a parallelogram is 24° less than twice the smallest angle then the largest angle of the parallelogram is