Opposite Angles in a Parallelogram Are Equal

Q.

In the figure, ABCD is a parallelogram in which $\angle ADC={105}^{\circ },\angle CBE$ is

1. 
2. 
3. 
4. 

Q.

Adjacent angles are supplementary in

1. Square, rhombus and kite

2. Rectangle, rhombus and kite

3. Rhombus, square and kite

4. Rectangle, rhombus and square

Q.

Which of the following is not a property of a parallelogram?

1. Opposite sides are equal

2. Opposite angles are equal

3. Diagonals are perpendicular to each other

4. Diagonals bisect each other

Q.

The point of intersection of the diagonals of quadrilateral divides it's one diagonal in the ratio 2:3. Is it a parallelogram? Give reason?

Q. Three angles of a quadrilateral are ${60}^{\circ },{120}^{\circ },and{80}^{\circ }.$ Find the fourth angle.

1. ${60}^{\circ }$
2. ${80}^{\circ }$
3. ${120}^{\circ }$
4. None of the above

Q.

In a parallelogram, if one angle is 50^o, what will be its adjacent angle?

1. 100^o

2. 50^o

3. 130^o

4. 25^o

Q.

$\text{In the given figure, ABCD is a}\text{parallelogram. From the given options,}\text{select the values of x and y.}$

1. $x={45}^{\circ }$
2. $y={105}^{\circ }$
3. $y={30}^{\circ }$
4. $x={75}^{\circ }$

Q.

What is the relation between opposite angles of a parallelogram?

Q. Two adjacent angles of a parallelogram are(5x+65)^0 and
(85-2x)^0. Find the measure of each angle of a parallelogram

Q.

Which of the following is correct for a parallelogram?

1. Opposite angles are equal.

2. Diagonals bisect each other.

3. Opposite sides are equal.

4. All of these

Q. Question 1 (ii)
Given a parallelogram ABCD. Complete each statement along with the definition or property used.
(ii) $\angle DCB=$ ........

Q.

In the given figure, ABCD is a parallelogram. If AM bisects $\angle A$ and DM bisects $\angle D$, then $\angle AMD$ = ____.

1. 75°

2. 90°

3. 120°

4. 60°

Q. Question 7
The below figure HOPE is a parallelogram. Find the angle measures $x,y$ and $z$. State the properties you use to find them.

Q. Question 11
Which of the following is a property of a parallelogram?
a) Opposite sides are parallel
b) The diagonals bisect each other at right angles
c) The diagonals are perpendicular to each other
d) All angles are equal

Q. Question 1
If three angles of a quadrilateral are each equal to ${75}^{\circ }$, the fourth angle is
a) ${150}^{\circ }$
b) ${135}^{\circ }$
c) ${45}^{\circ }$
d) ${75}^{\circ }$

Q. Three angles for four different quadrilaterals have been given. Which one of the following is a convex quadrilateral?

1. 30°, 40°, 95°
2. 10°, 20°, 140°
3. 45°, 50°, 65°
4. 5°, 16°, 165°

Q.

Briefly list the important properties of a trapezium.

Q.

To determine the measures of all angles of a parallelogram, which of the following information is needed?

1. Only one angle is known.

2. Three angles are known.

3. Length of sides should be known

4. Two angles are known.

Q. Find the angle measure x in the following figures:

Q.

Find the angle x in the given figure.

Q.

For the given, □^mMNOP which of the following option is incorrect?

1. ∠ M = 80^o

2. M + O = 160^o

3. N = 100^o

4. O + N = 160^o

Q.

The sides BA and DC of the parallelogram ABCD are produced as shown in figure then which of the following option is correct?

1. $\angle a=\angle x+\angle y$

2. $\angle a=\angle b=\frac{1}{2}(\angle x+\angle y)$

3. $\angle y=\angle a-\angle b$

4. $\angle a+\angle b=\angle x+\angle y$

Q. Question 28
A quadrilateral has three acute angles. If each measures ${80}^{\circ }$, then the measure of the fourth angle is :
a) ${150}^{\circ }$
b) ${120}^{\circ }$
c) ${105}^{\circ }$
d) ${140}^{\circ }$

Q.

The consecutive angles of a parallelogram measure $(x°+{30}^{\circ })$ and $4x°$. What is the measure of the smallest angle?

1. ${30}^{\circ }$

2. ${60}^{\circ }$

3. ${40}^{\circ }$

4. ${10}^{\circ }$

Q.

For a parallelogram, which of the following is true?

1. Opposite angles are equal

2. Opposite sides are equal

3. Diagonals bisect each other

4. All the above

Q. The opposite angles of a parallelogram are _______ .

1. equal
2. unequal
3. complementary
4. supplementary

Q.

what are the properties of a parallelogram

Q.

If a diagonal AC of a parallelogram ABCD is of length 6 cm and side AB is of length 4 cm, then the length of side BC will be

1. < 2 cm

2. > 2 cm

3. = 2 cm

4. < 1 cm

Q.

In the given figure, ACDF, ABEF and BCDE are all parallelograms. Using the information given in the figure choose the correct answer.

1. Opposite sides are equal.

2. Opposite angles are equal.

3. Opposite angles are bisected by the diagonals.

4. Diagonals bisect each other.

Q.

With reference to the figure, ABCD is a parallelogram. AE and CF are angle bisectors of ∠DAC and ∠ACB respectively. What can be said about the lines AE and CF ?

1. Neither parallel nor perpendicular

2. Can never be parallel or perpendicular

3. Always perpendicular

4. Always parallel