Angles and Types of Angles

Q.

When a line intersects two parallel lines the angle made by those lines and intersecting lines are equal.

1. True

2. False

Q. Identify the pairs of parallel lines.

1. k and l
2. m and n
3. l and j
4. j and k

Q. What are the different types of angles depending on magnitude? [3 MARKS]

Q.

Question 7 (ii)
Can two angles be supplementary if both of them are:
Obtuse

Q.

Classify the following True or False:

The sum of two angles which form a linear pair is always equal to $180°$.

1. True
2. False

Q.

Two angles are making a linear pair. If one of them is one-third of the other, then find the angles.

Q. Which of the following are not intersecting lines ?

1. (i) and (iii)
2. (iv) and (v)
3. (v) and (ii)
4. (i) and (v)

Q.

The lines XY and MN intersect at O.

If ∠POY = 90^o and a:b = 2:3, find c.

1. 120^o

2. 124^o

3. 122^o

4. 126⁰

Q.

When someone says that two angles are supplementary to each other, what does it mean? [1 MARK]

Q.

How are angles classified based on their measure? [3 MARKS]

Q.

In the figure, lines AB and CD intersect each other at O.

If ∠AOC + ∠BOE = 70^o and ∠BOD = 40^o, find ∠BOE

1. 

2. 

3. 

4. 

Q.

Vignesh has two angles, $\angle$A and $\angle$B. He arranged those two angles on a paper such that they are supplementary. Which of the following arrangements did he make?

1. IV only.

2. III only.

3. I, II.

4. I, II, III.

Q.

Prove that the bisectors of two adjacent supplementary angles include a right angle.

[ 2 marks ]

Q. If lines AB and CD intersect each other at point O, then $\angle$AOD and$\angle$COB are angles.

1. opposite interior
2. vertically opposite
3. adjacent pair

Q. Choose the correct pairs of supplementary angles.

1. $0^o$
2. ${40}^o$
3. ${60}^o$
4. ${90}^o$
5. ${90}^o$
6. ${120}^o$
7. ${140}^o$
8. ${180}^o$

Q.

In the given figure, AB||CD and if $\angle CFE={90}^{\circ }$, then $\angle FEB=$ __${}^{\circ }$.

Q.

Can two angles be supplementary if both of them are obtuse?

Q. Can two adjacent angles be complementary?

Q.

When two straight lines intersect, which of the following statement(s) is/are true?

1. Adjacent angles are complementary.

2. Adjacent angles are supplementary.

3. Opposite angles are equal.

4. Opposite angles are supplementary.