Sum of Angles of a Quadrilateral

Q. All angles of a rhombus will always be ${90}^{\circ }$. State whether the statement is true or false.

1. True
2. False

Q. Question 6
Two adjacent angles of a parallelogram have equal measure. Find the measure of the angles of the parallelogram.

Q.

In quadrilateral ABCD

$\angle A:\angle B:\angle C:\angle D=3:4:5:6$

then quadrilateral ABCD is a

1. Square ​​​​​​

2. Trapezium

3. Rhombus

4. Rectangle

Q.

From the given figure, the volume of x is___

1. ${100}^{\circ }$

2. ${90}^{\circ }$

3. ${85}^{\circ }$

4. ${80}^{\circ }$

Q.

If the ratio of angles (taken in order) of a quadrilateral is 1 : 2 : 3 : 4, then it could be a:

1. cyclic quadrilateral

2. parallelogram

3. kite

4. trapezium

Q.

Find the angle measure x in the following figures.

(a)	(b)
(c)	(d)

Q.

The ratio of angles A, B, C and D of the quadrilateral ABCD are 3:7:6:4 when it is taken in order. Find the shape of the quadrilateral.

1. Rhombus

2. Parallelogram

3. Trapezium

4. None of these

Q. Question 123
State whether the statements are True or False.
A quadrilateral can have all four angles as obtuse.

Q. A quadrilateral can be construted, if 3 sides and 2 included angles are given.

1. True
2. False

Q. The sum of interior angles of a quadrilateral is _____ degrees.

1. 180
2. 270
3. 90
4. 360

Q. Tick (✓) the correct answer:
Each interior angle of a regular decagon is
(a) 60°
(b) 120°
(c) 144°
(d) 180°

Q. What is the sum of all the angles of a quadrilateral?

1. 90 degrees
2. 180 degrees
3. 360 degrees
4. 540 degrees

Q. What is the sum of all the angles of a quadrilateral?

1. 90 degrees
2. 540 degrees
3. 180 degrees
4. 360 degrees

Q. Given a parallelogram ABCD. Complete each statement along with the definition or property used.
(i) AD = …………
$\left(ii\right)\angle DCB=\dots \dots \dots$
(iii) OC = ………
$\left(iv\right)m\angle DAB+m\angle CDA=\dots \dots ..$

Q. ___ is a quadrilateral which has exactly one pair of opposite angles that are equal.

1. rhombus
2. parallelogram
3. kite
4. square

Q. The sum of interior angles of a quadrilateral is _____ degrees.

1. 90
2. 180
3. 270
4. 360

Q. A _______ is a special quadrilateral with unequal sides and diagonals intersecting at an angle of 90 degrees

1. square
2. kite
3. recatangle
4. rhombus

Q. What is the sum of all the angles of a quadrilateral?

1. 360 degrees
2. 90 degrees
3. 540 degrees
4. 180 degrees

Q.

In the given figure, AO and BO are bisecters of $\angle A$ and $\angle B$ respectively. If $\angle C={125}^{\circ }$ and $\angle D={75}^{\circ }$, then x=___

1. 

2. 

3. 

4. 

Q. Question 45
Two adjacent angles of a parallelogram are in the ratio 1 : 5. Then, all the angles of the parallelogram are
a) ${30}^{\circ },{150}^{\circ },{30}^{\circ },{150}^{\circ }$
b) ${85}^{\circ },{95}^{\circ },{85}^{\circ },{95}^{\circ }$
c) ${45}^{\circ },{135}^{\circ },{45}^{\circ },{135}^{\circ }$
d) ${30}^{\circ },{180}^{\circ },{30}^{\circ },{180}^{\circ }$

Q.

If three angles of a quadrilateral are ${100}^{\circ }$ , ${90}^{\circ }$ and ${85}^{\circ }$, then the fourth angle is _____.

1. ${100}^{\circ }$

2. ${85}^{\circ }$

3. ${65}^{\circ }$

4. ${75}^{\circ }$

Q. Three equal angles of a quadrilateral have value of ___ degrees if unequal angle is 144 degrees.

1. 72
2. 60
3. 84
4. 135

Q. Three equal angles of a quadrilateral have value of ___ degrees if unequal angle is 144 degrees.

1. 72
2. 60
3. 84
4. 135

Q.

During construction of ${60}^{\circ }$ angle the property of an equilateral triangle is used.

1. False

2. True

Q. Question 35
In the given figure, ABCD and BDCE are parallelograms with common base DC. If $BC\perp BD$, then $\angle BEC$ is equal to
a) ${60}^{\circ }$
b) ${30}^{\circ }$
c) ${150}^{\circ }$
d) ${120}^{\circ }$

Q. What is the sum of all the angles of a quadrilateral?

1. 540 degrees
2. 360 degrees
3. 90 degrees
4. 180 degrees

Q.

In the given figure, AE and BC are equal and parallel. If the sides AB, CD and DE are equal and $\angle$BAE = 100°, then $\angle$BCD is equal to

1. 120°

2. 140°

3. 150°

4. 160°

Q. Question 133
Two adjacent angles of a parallelogram are in the ratio 1 : 3. Find its angles.

Q.

If opposite angles in a parallelogram are 110 degrees each, what are the other 2 angles?

1. 70 degrees each

2. 140 degrees each

3. 220 degrees each

4. 110 degrees each

Q. Angles of a quadrilateral measure 44, 56, and 140 degrees.Then the fourth angle is ____ degrees .

1. 100
2. 110
3. 120
4. 130