The given figure shows a parallelogram. The value of x for which it will be a rhombus is :

1. 35°

2. 25°

3. 15°

4. 45°

A rhombus will be a square, if :

1. its diagonals bisect each other

2. its diagonals are perpendicular to each other

3. one of its angles is 60°

4. none of these

In a parallelogram ABCD; ∠A = (3x + 2)° and ∠D = (2x + 3)°; the value of x is :

1. 37

2. 35

3. 30

4. 40

In a trapezium ABCD, AB//DC and AD = BC. If ∠A = (5x + 8)° and ∠D = (4x + 10)°; the measure of angle B is

1. 98°

2. 82°

3. 96°

4. none of these