Important Results Related to Parallelograms

Q. In a rhombus ABCD;
(i) If ∠A = 74°; find ∠B and ∠C.
(ii) If AD = 7.5 cm; find BC and CD.
[2 marks]

Q.

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

1. 
2. 
3. 
4. 

Q.

The adjacent angles of a parallelogram are___.

Q.

In the given figure, ABCD is a square and DEC is equilateral.

The value of x is:

1. 45°

2. 30°

3. 20°

4. 15°

Q.

Which of the following are true?

i) All squares are rhombuses.

ii) All parallelograms are rectangles.

iii) All rhombuses are trapeziums

iv) All squares are rectangles.

1. ii, iii

2. i, ii

3. i, iii, iv

4. None of these

Q.

ABCD is a parallelogram. Find $\angle$ ADC.

1. ${120}^{\circ }$

2. ${115}^{\circ }$

3. ${95}^{\circ }$

4. ${30}^{\circ }$

Q.

Adjacent angles of a parallelogram are ___.

1. supplementary

2. complementary

3. not related

4. at right angle

Q.

Two adjacent angles of rhombus are $(3x-40{)}^{\circ }and(2x+20{)}^{\circ }.$ The measurement of the greater angle is

1. 
2. 
3. 
4. 

Q.

In a parallelogram, if a diagonal bisects the angles through which it passes, then the parallelogram is a ___

1. Square

2. Rhombus

3. Rectangle

4. Trapezium

Q.

Find $\angle ABD$ in the parallelogram ABCD.

1. ${75}^{\circ }$

2. ${25}^{\circ }$

3. ${45}^{\circ }$

4. ${30}^{\circ }$