Linear Pair of Angles

Q.

In the figure below, x = ${30}^{\circ }$. Find the value of (6y – 3x) in degrees.

1. 150

Q.

Consider the figure:

If BC = AC, x = 2y, and angle ∠ACB = 60^o, then the value of ∠B + y (in degrees) is

___

Q.

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

1. 

2. 

3. 

4. 

Q.

In the figure below, $x={30}^{\circ }$.

The value of $(6y–3x)$ is ___.

1. 

2. 

3. 

4. 

Q.

In the figure below, lines AB and CD intersect at O. If

$\angle AOC+\angle BOE={70}^{\circ }$ and

$\angle BOD={40}^{\circ }$,

find $\left(2\angle BOE\right)$.

1. 

2. 

3. 

4. 

Q.

A ray OC is constructed on the line segment AB such that $\angle BOC$ is $x^{\circ }$.

What will $\angle AOC$ be?

1. x^o

2. 180^o - x^o

3. 90^o - x^o

4. 360^o - x^o

Q.

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

1. 

2. 

3. 

4. 

Q.

A ray OC is constructed on the line segment AB such that $\angle BOC$ is $x^{\circ }$.

What will $\angle AOC$ be?

1. $x^{\circ }$

2. ${180}^{\circ }-x^{\circ }$

3. ${90}^{\circ }-x^{\circ }$

4. ${360}^{\circ }-x^{\circ }$

Q.

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

1. 

2. 

3. 

4. 

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 = $x$, then find $\angle$ ROT.

1. ${90}^{\circ }$

2. ${120}^{\circ }$

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

4. ${180}^{\circ }$

Q.

In the figure below, lines AB and CD intersect at O. If $\angle$AOC + $\angle$BOE = ${70}^{\circ }$ and $\angle$BOD = ${40}^{\circ }$, find (2$\angle$BOE).

1. ${50}^{\circ }$

2. ${30}^{\circ }$

3. ${60}^{\circ }$

4. ${90}^{\circ }$

Q. Linear pair angles are always:

1. Complementary angles
2. Equal angles
3. Supplementary angles
4. Corresponding angles

Q. In the given figure, POQ is a line, then the valie of 'x' is

1. ${20}^{\circ }$
2. ${25}^{\circ }$
3. ${30}^{\circ }$
4. ${35}^{\circ }$

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

Q. In the figure given, what is the value of 't' ?

1. $5^{\circ }$
2. ${10}^{\circ }$
3. ${15}^{\circ }$
4. ${20}^{\circ }$

Q. The angle which makes a linear pair with the angle measuring ${58}^{\circ }$ is :

1. ${61}^{\circ }$
2. ${122}^{\circ }$
3. ${199}^{\circ }$
4. ${29}^{\circ }$

Q.

A ray OC is constructed on the line segment AB such that ∠BOC is x${}^{\circ }$. ∠AOC is ____

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

2. 180${}^{\circ }$ - x${}^{\circ }$

3. 90${}^{\circ }$ - x${}^{\circ }$

4. 360${}^{\circ }$ - x${}^{\circ }$

Q. Two adjacent angles make a linear pair if their sum is ___ degrees.

1. 0
2. 90
3. 135
4. 180