Opposite Angles of a Parallelogram Are Equal

Q.

In a parallelogram the sum of two consecutive angles is

1. 180^o

2. 100^o

3. 360^o

4. 90^o

Q.

The adjacent angles of a parallelogram are in the ratio $4:5$, find measure of all angles of parallelogram?

Q.

If PQRS is a parallelogram, then ∠Q - ∠S is equal to:

1. 180^o

2. 0^o

3. 90^o

4. 120^o

Q.

In a parallelogram, one angle is $\frac{4}{5}$th of the adjacent angle. The adjacent angles of the parallelogram are:

1. ,

2. ,

3. ,

4. ,

Q.

The diagonals AC and BD of a parallelogram ABCD intersect each other at the point O. If $\angle$DAC = ${32}^{\circ }$ and $\angle$AOB = ${70}^{\circ }$, then ∠DBC is equal to:

1. 86°

2. 24°

3. 38°

4. 32°

Q. If PQRS is a parallelogram, then what are the remaining angles?

1. $\angle P=\angle R=80°\angle Q=\angle S=100°$
2. $\angle P=\angle R=90°\angle Q=\angle S=90°$
3. $\angle P=\angle S=80°\angle Q=\angle R=100°$
4. $\angle P=\angle R=80°\angle Q=90°\angle S=100°$

Q. If one of the angles of a parallelogram is 130°, its opposite angle is .

1. 130°
2. 50°
3. 90°
4. 120°

Q. In the given quadrilateral ABCD, the line segments bisecting $\angle C$ and $\angle D$ meet at O. Then the correct statement is:

1. $\angle A+\angle B=\angle COD$
2. $\angle A+\angle B=3\angle COD$
3. $\angle A+\angle B=4\angle COD$
4. $\angle A+\angle B=2\angle COD$

Q.

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

1. Can be parallel or perpendicular

2. Always Parallel

3. Always Perpendicular

4. Neither parallel nor perpendicular

Q.

Two consecutive angles of parallelogram are in the ratio 1 : 3, then the measure of the smaller angle is:

1. 90^o

2. 45^o

3. 60^o

4. 50^o

Q.

Find the unknown marked angle

Q. $\text{In the given figure ABCO is a parallelogram.}\text{AB, CD and OD are equal in length.}\text{If}\angle BAO={110}^{\circ },\text{then find the measure}\text{of}\angle BCD.$

1. ${150}^{\circ }$
2. ${180}^{\circ }$
3. ${170}^{\circ }$
4. ${160}^{\circ }$

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. 100°
3. 160°
4. 60°

Q.

If an angle of a parallelogram is four-fifths of the adjacent angle, then the angles of the parallelogram are

1. 60^o, 120^o, 60^o, 120^o

2. 80^o, 100^o, 80^o, 100^o

3. 45^o, 135^o, 45^o, 135^o

4. 40^o, 140^o, 40^o, 140^o

Q. If both pairs of opposite angles of a quadrilateral are equal, then the quadrilateral is a parallelogram.

1. False
2. True

Q. If the diagonals in a quadrilateral bisect each other, then it is a parallelogram.

1. True
2. False

Q. What is the angle formed between the angle bisectors of any two adjacent angles of a parallelogram?

1. 90°
2. 75°
3. 105°
4. 45°

Q.

Measure of the four angles ∠A, ∠B, ∠C and ∠D in the given parallelogram will be

1. 40^o, 140^o, 40^o, 140^o

2. 90^o, 90^o, 90^o, 90^o

3. 120^o, 60^o, 120^o, 60^o

4. 130^o, 50^o, 130^o, 50^o

Q. If a pair of opposite sides of a quadrilateral is parallel, then it is a parallelogram.

1. True
2. False

Q. What could be the measure of $x$ and $y$ if ABCD is a parallelogram?

1. $x=45°y=30°$
2. $x=45°y=35°$
3. $x=40°y=30°$
4. $x=40°y=35°$

Q.

The opposite angles of a parallelogram are (3x - 2)^o and (50 - x)^o the measure of these angles is ______.

1. 37^o, 37^o

2. 37^o, 143^o

3. 140^o, 140^o

4. 20^o, 160^o

Q. In the given parallelogram ABCD, find the value of $x$ and $y.$

1. $x=4^{\circ },y=4^{\circ }$
2. $x=3^{\circ },y=4^{\circ }$
3. $x=4^{\circ },y=3^{\circ }$
4. $x=5^{\circ },y=5^{\circ }$

Q. If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

1. False
2. True

Q. Find the value of x, if ABCD is a parallelogram.

1. 120°
2. 70°
3. 6 cm

Q. The bisectors of any two adjacent angles of a parallelogram intersect at
(a) 40°
(b) 45°
(c) 60°
(d) 90°

Q. If both pairs of opposite angles of a quadrilateral are equal, then the quadrilateral is a parallelogram.

1. False
2. True

Q. In a parallelogram ABCD, if ∠B = 135°, determine the measure of its other angles.

Q. In a parallelogram $ABCD,E$ and $F$ are the mid-points of sides $AB$ and $CD$ respectively (see Fig). Show that the line segments $AF$ and $EC$ trisect the diagonal $BD$.

Q. In a parallelogram, the opposite angles are ___________ .

1. complementary
2. supplementary
3. equal
4. add up to ${360}^{\circ }$

Q.

The corresponding angles of a quadrilateral are 48°, 72°, 120° and 120°

If the given figure is a parallelogram, find the values of x and y.

1. 29^o, 73^o

2. 29^o, 78^o

3. 23^o, 78^o

4. 23^o, 23^o