Linear Pair

Q.

In the figure below, ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of $\angle$POS and $\angle$SOQ, respectively. If $\angle$POS = $x$, find $\angle$ROT.

1. ${180}^{\circ }$

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

3. ${120}^{\circ }$

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

Q.

In the figure below, lines XY and MN intersect at point O. If $\angle$POY = ${90}^{\circ }$ and $\angle$ A : $\angle$ B = 2 : 3, find $\frac{\left(\angle C\right)}{2}$.

1. ${55}^{\circ }$
2. ${68}^{\circ }$
3. ${63}^{\circ }$
4. ${77.5}^{\circ }$

Q. In given figure, lines XY and MN intersect at O. If ∠POY = 90° and a : b = 2 : 3, find c.​

Q.

In the figure below, a ray OC extends from a point O on a straight line AB. If $\angle$AOC = ${135}^{\circ }$, then $\left(\frac{\angle BOC}{3}\right)$ is equal to :

1. 

2. 

3. 

4. 

Q.

In the figure below, x = ${30}^{\circ }$. The value of (6y – 3x) is ___.

1. ${60}^{\circ }$
2. ${150}^{\circ }$
3. ${180}^{\circ }$
4. ${120}^{\circ }$

Q. The measure of an angle whose supplement is equal to itself is

1. ${65}^{\circ }$
2. ${45}^{\circ }$
3. ${180}^{\circ }$
4. ${90}^{\circ }$

Q.

According to the linear pair axiom, if ray AB stands on a line PQ, then, the sum of the adjacent angles(in degrees) is __.

Q.

In the given figure, if $\frac{y}{x}=5and\frac{z}{x}=4$ , then the value of x is ${12}^{\circ }$.

1. 
2. 

Q.

$\angle$POQ and $\angle$QOR from linear pair of angles. The sum of $\angle$POQ and $\angle$QOR is ___________.

1. 180

2. 90
3. 100
4. 360

Q.

Which one of the following statements are true?

1. If two angles forms a linear pair, then each of these angles is of measure

2. Angles forming a linear pair can both be acute angles.

3. One of the angles forming a linear pair can be obtuse angle.

4. Bisectors of the adjacent angles form a right angle.