Angles Made by a Transversal

1. 6
2. 8
3. 12
4. 4

O is any point on the bisector of the acute angle $\angle$XYZ. From O, a line is extended to join XY such that OP is parallel to ZY. Then, $△$YPO is:

1. Scalene

2. Right & isosceles

3. Isosceles but not right angled

4. Equilateral

1. ${140}^o$
2. ${70}^o$
3. ${110}^o$
4. 
   ${90}^o$

1. ${65}^{o}and{55}^o$
2. 
   ${55}^{o}and{65}^o$
3. ${30}^{o}and{45}^o$
4. ${45}^{o}and{30}^o$

1. ${100}^o$
2. 
   ${70}^o$
3. ${90}^o$
4. ${50}^o$

1. ${100}^{\circ }$
2. ${60}^{\circ }$
3. ${160}^{\circ }$
4. ${120}^{\circ }$

In the given figure, $AB\parallel DE,\angle A={43}^{\circ }$ and $\angle BDE={57}^{\circ }.$ The value of $\angle x$ is

1. 43

2. 57

3. 34

4. 75

In the given diagram, $\angle$XOB and $\angle$YO'P are called ________.

1. corresponding angles

2. alternate exterior angles

3. alternate interior angles

4. interior angles on the same side of the transversal

1. ${69}^{\circ }$
2. ${67}^{\circ }$
3. ${113}^{\circ }$
4. ${23}^{\circ }$

Match the following:

$\begin{array}{cc}\text{a.)}\text{Interior angles on the same side of the transversal}& \left(i\right)1–5,2–6,3–7\text{and}4–8\\ \text{b.)}\text{Alternate exterior angles}& \left(ii\right)4–6,3–5\\ \text{c.)}\text{Corresponding angles}& \left(iii\right)1–7,2–8\\ \text{d.)}\text{Alternate interior angles}& \left(iv\right)3–6,4-5\end{array}$

1. a – iv, b – ii, c – iii, d - i

2. a – iii, b – iv, c – ii, d - i

3. a – iv, b – iii, c – i, d - ii

4. a – iii, b – iv, c – i, d - ii

1. ${70}^o$
2. ${140}^o$
3. 
   ${90}^o$
4. ${110}^o$

In the above figure, if $AB\parallel PQ$. Then, $\angle BCR$ ___ $\angle QRY$.

1. $>$

2. $\ne$

3. $=$

4. $<$

Consecutive pairs of angles of a parallelogram are…………

1. complementary

2. supplementary

3. acute

4. obtuse

In the given figure, AB || DE. $\angle$A = 43${}^{\circ }$ and $\angle$BDE = 57${}^{\circ }$. The value of $\angle$x is ________.

1. 34

2. 43

3. 57

4. 75

In the given diagram, $\angle O^{\prime }OB$ and $\angle O{O}^{\prime }P$ are called

1. corresponding angles

2. alternate interior angles

3. alternate exterior angles

4. interior angles on the same side of the transversal

In the given diagram, $\angle XOB$ and $\angle Y{O}^{\prime }P$ are called

1. alternate exterior angles

2. interior angles on the same side of the transversal

3. alternate interior angles

4. corresponding angles

Given a line 'm' and there is no point marked on it. Which of the following concept is used to draw a line, parallel to 'm' through the given point?

1. Sum of angles is 180⁰ concept
2. Co- interior angles concept
3. Equal alternate angles concept
4. Insufficient data

In the figure given below, if $AB\parallel PQ$. Then, $\angle ACX$ ___ $\angle PRC$.

1. >

2. =

3. <

4. ≠

In the given figure, AB and CD are two lines intersecting at O. If $\angle AOC$ and $\angle BOC$ are in ratio 2 : 3, find all angles.

1. ${50}^{\circ },{120}^{\circ },{50}^{\circ },{120}^{\circ }$

2. ${72}^{\circ },{108}^{\circ },{108}^{\circ },{72}^{\circ }$

3. ${45}^{\circ },{100}^{\circ },{100}^{\circ },{45}^{\circ }$

4. ${30}^{\circ },{120}^{\circ },{30}^{\circ },{120}^{\circ }$

In the given figure two parallel lines l, m are intersected by a tranversal. Then the pair of co - interior angles are

1. $\angle 4and\angle 5$

2. $\angle 3and\angle 6$

3. $\angle 6and\angle 4$

4. $\angle 5and\angle 6$

1. True
2. False

Question 45

Fill in the blanks to make the statement true.

The sum of interior angles on the same side of a transversal is ___

1. $\overrightarrow{OY}$ bisects $\angle BOA$
2. $\overrightarrow{OY}$ bisects $\angle DOA$
3. $\overrightarrow{OY}$ doesn't bisect $\angle DOA$
4. None of these

The bisector of a line segment is

1. At an angle of 180^o to the line

2. At an angle of 45^oto the line

3. Parallel to the line segment

4. Perpendicular to the line segment

1. 30
2. 120
3. 60
4. 150

1. ${150}^{\circ }$
2. ${180}^{\circ }$
3. ${160}^{\circ }$
4. ${170}^{\circ }$

1. 180
2. 120
3. 60
4. 90