Linear Pair and Vertically Opposite Angles

Q. Given $\angle POR=3x$ and $\angle QOR=(2x+10)°$. If POQ is a straight line then, the value of $\angle POR$ is ______.

1. 103°
2. 100°
3. 99°
4. 102°

Q.

In figure lines $l_1$ and $l_2$ intersect at O, forming angles as shown in the figure.If $a={35}^{\circ }$, find the values of b, c and d. [3 MARKS]

Q. If angle S and 100° forms a linear pair, what is the value of angle S?

1. 100°
2. 90°
3. 80°
4. 70°

Q. Lines PQ and RS intersect at O. If$\angle POR:\angle ROQ=5:7$. Then $\angle POS$ =

1. ${105}^{\circ }$
2. ${75}^{\circ }$
3. ${45}^{\circ }$

Q. In the given figure, which of the following are vertically opposite angles?

1. $\angle$EOC and $\angle$DOC
2. $\angle$FOA and $\angle$DOC
3. $\angle$EOF and $\angle$AOB
4. $\angle$EOC and $\angle$FOA

Q.

Vertically opposite angles are always ___________.

1. supplementary

2. complementary

3. adjacent

4. equal

Q.

In the figure given below, lines RS and PQ intersect each other at point O.
$\text{If}\angle POR:\angle ROQ=5:9,$
find $\angle SOQ$.

1. 80

Q. Write all pairs of vertically opposite angles.

Q. $\angle A$ and $\angle B$ are vertically opposite angles, and $\angle A=5x$ and $\angle B=90°+2x$. Find the value of $x$.

1. 30°
2. 90°
3. 120°
4. 60°

Q. Given, $\angle POR=3x$ and $\angle QOR=2x+{10}^{\circ }$, find the values of $x$ for which $POQ$ will be a line.

Q. If AB and CD are parallel lines and EH is the transversal, then find the measure $\angle$EFB.

1. 106°
2. 116°
3. 126°
4. 136°

Q.

In the figure given, what is the value of $\angle t$?

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

2. ${40}^{\circ }$

3. ${50}^{\circ }$

4. ${60}^{\circ }$

Q.

When two lines intersect each other, two pairs of ____ angles are formed.

Q. Find the value of $x$ in the given figure.

1. ${90}^{\circ }$
2. ${64}^{\circ }$
3. ${80}^{\circ }$
4. ${130}^{\circ }$

Q. In the given figure, which of the following are vertically opposite angles?

1. $\angle$EOC and $\angle$DOC
2. $\angle$FOA and $\angle$DOC
3. $\angle$EOC and $\angle$FOA
4. $\angle$EOF and $\angle$AOB

Q.

Find the measure of $\angle$2, $\angle$3 and $\angle$4 from the given figure.

1. 75${}^{\circ }$, 75${}^{\circ }$, 105${}^{\circ }$

2. 75${}^{\circ }$, 85${}^{\circ }$, 105${}^{\circ }$

3. 105${}^{\circ }$, 75${}^{\circ }$, 75${}^{\circ }$

4. 105${}^{\circ }$, 75${}^{\circ }$, 105${}^{\circ }$

Q.

In the figure given below, lines RS and PQ intersect each other at point O.
$\text{If}\angle POR:\angle ROQ=5:9,$
find $\angle SOQ$.

1. 80