Opposite Angles of a Parallelogram Are Equal

Q. In the following figure, PQRS is a parallelogram.


Find the measure of x${}^{\circ }$ and y${}^{\circ }$.

1. 100${}^{\circ }$ and 80${}^{\circ }$.
2. 70${}^{\circ }$ and 110${}^{\circ }$.
3. 500${}^{\circ }$ and 130${}^{\circ }$.
4. 90${}^{\circ }$ and 120${}^{\circ }$.

Q. Opposite sides and angles of a parallelogram are always equal.

1. False
2. True

Q. In a quadrilateral, if the opposite sides and opposite angles are equal, then the quadrilateral is a .

1. parallelogram
2. polygon
3. triangle

Q. In the below given figure of parallelogram, AF and BE are angle bisectors of $\angle A$ and $\angle B$ respectively. Find the measure of $x$.

1. ${90}^{\circ }$
2. ${80}^{\circ }$
3. ${70}^{\circ }$
4. ${60}^{\circ }$

Q.

ABCD is a parallelogram in which $\angle DCB$ and $\angle ABC$ are in ratio 2:7. Find the sum of $\angle ABD$ and $\angle ADB$.

1. ${40}^{\circ }$

2. ${50}^{\circ }$

3. ${70}^{\circ }$

4. ${140}^{\circ }$

Q. If two adjacent angles i.e., A and B of the parallelogram ABCD are (3x - 4)${}^{\circ }$ and (3x + 16)${}^{\circ }$ respectively, then the measure of angle C is _____ .

1. 80${}^{\circ }$
2. 60${}^{\circ }$
3. 120${}^{\circ }$
4. 100${}^{\circ }$

Q. In the following parallelogram, find the value of $x$.

1. 11°
2. 33°
3. 44°
4. 22°

Q. Two adjacent angles of a parallelogram are equal. What is the measure of each of the angles?

1. 30°
2. 60°
3. 90°
4. 120°

Q. From the following parallelogram, find the value of $\angle$DCB.

1. 115°
2. 65°
3. 125°
4. 45°

Q. In a parallelogram, opposite angles are ________ and adjacent angles are _________.

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