Adjacent Angles

Q.

Question 2 (d)

Say True or False:

The measure of on complete revolution $={360}^{\circ }$

Q.

A 45-45-90 set square is ____.

1. an equilateral triangle

2. an isosceles triangle

3. a right triangle

4. a scalene triangle

Q. Find the size of unknown angle:

Q.

Choose the correct word and fill in the blanks :

___________ angles have a common vertex, and a common arm but no common interior points. (Vertical / Adjacent)

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

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

Q. How many angles are formed when two lines cross each other on a plane?

1. 4

Q.

Question 7
In the given figure, if point A is shifted to point B along the ray PX such that PB=2PA, then the measure of $\angle BPY$ is
a) greater than ${45}^{\circ }$
b) ${45}^{\circ }$
c) less than ${45}^{\circ }$
d) ${90}^{\circ }$

Q.

It is possible to construct an angle of 75${}^{\circ }$ using a 45-45-90 set square.

1. True

2. False

Q. A ${45}^{\circ }-{45}^{\circ }-{90}^{\circ }$ set square is a/an ___ .

1. Scalene triangle
2. Isosceles triangle
3. Right triangle
4. Obtuse triangle

Q.

In the figure below, lines AB and CD intersect each other at point O. The angle pairs ( $\angle AOD$ and $\angle COB$) and ( $\angle AOC$ and $\angle BOD$) are called ___.

1. vertically opposite angles

2. corresponding angles

3. opposite interior angles

4. adjacent pair angles

Q.

Which of the following are ways of constructing an angle of 105${}^{\circ }$ using the two types of set squares?

1. 125${}^{\circ }$ - 20${}^{\circ }$

2. 60${}^{\circ }$ + 45${}^{\circ }$

3. 90${}^{\circ }$ + 45${}^{\circ }$ - 30${}^{\circ }$

4. 30${}^{\circ }$ + 30${}^{\circ }$ + 45${}^{\circ }$

Q. Draw rough diagram of two angles such that they have ​
four points in common.​

Q.

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

1. 

2. 

3. 

4. 

Q. Find the missing angle x and y.

1. x = ${40}^{\circ }$ y= ${140}^{\circ }$
2. x = ${80}^{\circ }$ y= ${140}^{\circ }$
3. x = ${40}^{\circ }$ y= ${60}^{\circ }$
4. x = ${60}^{\circ }$ y= ${140}^{\circ }$

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. ${80}^{\circ }$

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

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

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

Q.

In the figure below, lines RS and PQ intersect each other at point O. Which of the following pair of angles are adjacent angles?

1. 

2. 

3. 

4. 

Q.

The product of two fractions is $20$. If one of the fractions is $\frac{1}{4}$, then the other fraction is ___.

1. $\frac{80}{4}$

2. $\frac{40}{1}$

3. $\frac{80}{20}$

4. $\frac{80}{1}$

Q. Using only the two set squares of the geometry box, an angle of ${15}^0$ can be drawn.

1. True
2. False

Q.

In the given figure, the adjacent angle to $\angle POQ$ is ______ .

1. $\angle POR$

2. $\angle POR$ and $\angle QOR$

3. None of the above

4. $\angle ROQ$

Q. Two adjacent angles have common -

1. ray
2. angle
3. angle bisector
4. vertex

Q. In the figure if $\angle AOC=\angle BOD,\angle AOB={45}^{\circ }\angle BOD={60}^{\circ }$ then find $\angle BOC$.

Q.

Which of the following is impossible to draw using the set squares?

1. ${45}^{\circ }$

2. ${75}^{\circ }$

3. ${95}^{\circ }$

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

Q.

In the figure, there are angles and they are

1. 3
2. ABC, DBC, ABD
3. BDA, ABC, BCD
4. ACB, BDA
5. 2

Q.

In the figure below, lines AB and CD intersect each other at point O. The angle pairs ( $\angle AOD$ and $\angle COB$) and ( $\angle AOC$ and $\angle BOD$) are called ___.

1. vertically opposite angles

2. opposite interior angles

3. corresponding angles

4. adjacent pair angles

Q.

In the figure a pair of parallel lines are cut by a tranveresal. The value of x and y respectively are ___.

1. ${130}^{\circ },{50}^{\circ }$

2. ${50}^{\circ },{130}^{\circ }$

3. ${140}^{\circ },{40}^{\circ }$

4. ${40}^{\circ },{140}^{\circ }$

Q.

In the given figure, the adjacent angle to $\angle POQ$ is ______ .

1. $\angle POR$

2. $\angle ROQ$

3. $\angle POR$ and $\angle QOR$

4. None of the above

Q.

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

1. 

2. 

3. 

4. 

Q.

If the arms of one angle are parallel to the arms of another angle, then the two angles are :

1. Either equal or supplementary

2. Neither equal nor supplementary

3. Not equal but supplementary

4. Equal but not supplementary

Q. If the angle $(2a-10{)}^{\circ }$ is ${30}^{\circ }$ more than a right angle, then find the value of a.

Q.

In the figure given below,

Find the value of

$\angle 1+\angle 2$.

1. 180°

2. 190°

3. 270°

4. Insufficient Data