Angles Associated with Two Parallel Lines and a Transversal

Q. A line which intersects two or more lines on the same plane is called a

1. parallel
2. perpendicular
3. transversal

Q.

In the given figures below, decide whether $l$ is parallel to $m$.

Q.

Question 4 (i)
Find the values of x in each of the following figures if l || m

Q. In the given figure, AB || CD, then the value of x is

1. ${235}^{\circ }$
2. ${285}^{\circ }$
3. ${75}^{\circ }$
4. ${220}^{\circ }$

Q.

A road crossing two or more roads gives an idea of _________ line.

1. Linear pair

2. transversal

3. Equal

4. Perpendicular pair

Q. Angles which are both supplementary and vertically opposite are:

1. ${95}^{\circ },{85}^{\circ }$
2. ${90}^{\circ },{90}^{\circ }$
3. ${100}^{\circ },{80}^{\circ }$
4. ${45}^{\circ },{45}^{\circ }$

Q. If ED is parallel to AB, then angle n is equal to angle

1. x
2. y
3. z

Q.

In the adjoining figure AB || CD, ∠1 : ∠2 = 3 : 2. Then ∠6 is _____

1. 100${}^{\circ }$

2. 36${}^{\circ }$

3. 144${}^{\circ }$

4. 72${}^{\circ }$

Q. Find the value of $x$ in each of the following figure, if $I||m$.

Q. Construct the following figures.
(i) A pair of adjacent angles
(ii) Two supplementary angles which are not adjacent angles.
(iii) A pair of adjacent complementary angles.

Q. In the given figure, AB is perpendicular to BC at B. Find :-
(1) x
(2) complement of angle x.

Q. In the given figure, points A, O and B are collinear.
Find the value of $\angle BOC$.

1. ${60}^{\circ }$
2. ${180}^{\circ }-{140}^{\circ }$
3. ${40}^{\circ }$
4. ${180}^{\circ }-{160}^{\circ }$

Q. In the figure, AB || CD and $\angle 1:\angle 2=3:2$. The measure of $\angle 6$ is

1. ${72}^{\circ }$
2. ${108}^{\circ }$
3. ${36}^{\circ }$
4. ${144}^{\circ }$

Q.

The value of x in the following figure is:

1. 40^o

2. 20^o

3. 30^o

4. 10^o

Q. In the given figure, if $AB||CD,\angle APQ={50}^{\circ }and\angle PRD={127}^{\circ }$, the value of y is

1. ${130}^{\circ }$
2. ${50}^{\circ }$
3. ${77}^{\circ }$
4. ${127}^{\circ }$

Q.

In the given figure, AB || DE. ∠A = 43⁰ and ∠BDE = 57⁰. The value of ∠x is ________.

1. 75°, 50°, 55°

2. 85°, 65°, 30°

3. 50°, 45°, 85°

4. 60°, 35°, 85°

Q. In the adjoining figure, $p\parallel q$. Find the unknown angles.

Q.

In figure if $ AB\parallel CD$, $ \angle APQ=50°$ and$ \angle PRD=130°$, then $ \angle QPR$ is

50° 130° D 

Q.

In the given figure, state which lines are parallel and why?

Q. In Fig., a transversal n cuts two lines l and m. If ∠1 = 70° and ∠7 = 80°, is l || m?

Q.

In the figure x, y and z are the internal angles of ∆ABD. Line ED || AB and side AD is extrapolated to point P and the value of $\angle$EDP and $\angle$EDB are m and n, respectively. Then, the values of n and m are ______ and _______, respectively.

1. z, y

2. x, z

3. y, z

4. y, x

Q.

In the given figure, $AB||CD$ and $CA$ has been produced to $E$ so that $\angle BAE={125}^{\circ }$.
If $\angle BAC=x^{\circ },\angle ABD=x^{\circ },\angle BDC=y^{\circ }$ and $\angle ACD=z^{\circ }$, find the values of $x,y,z$.

Q. Question 5
Angles, which are both suplementary and vertically opposite are
(a) ${95}^{\circ },{85}^{\circ }$
(b) ${90}^{\circ },{90}^{\circ }$
(c) ${100}^{\circ },{80}^{\circ }$
(d) ${45}^{\circ },{45}^{\circ }$

Q.

In the figure x, y and z are the internal angles of ∆ABD. Line ED || AB and side AD is extrapolated to point P and the value of $\angle$EDP and $\angle$EDB are m and n, respectively. Then, the values of m and n are ______ and _______, respectively.

1. z, y

2. x, z

3. y, z

4. y, x

Q.

Find x, y and z in the figure given below.

1. $x={70}^{\circ },y={110}^{\circ },z={70}^{\circ }$

2. $x={110}^{\circ },y={110}^{\circ },z={70}^{\circ }$

3. $x={110}^{\circ },y={110}^{\circ },z={90}^{\circ }$

4. $x={110}^{\circ },y={110}^{\circ },z={110}^{\circ }$

Q.

How much is the angle marked in the picture below?

Q. From the given figure, we can say that

1. $l\parallel m$, $p\parallel q$
2. $l\parallel m$, $p\nparallel q$
3. $l\nparallel m$, $p\parallel q$
4. $l\nparallel m$, $p\nparallel q$

Q.

Assume line m and line n are parallel lines cut by the transversal line l. Find the value of x.

1. 45^o

2. 25^o

3. 60 ^o

4. 5^o

Q.

In the given figure, AB || DE. ∠A = 43⁰ and ∠BDE = 57⁰. The value of ∠x is ________.

1. 34${}^{\circ }$
2. 43${}^{\circ }$
3. 57${}^{\circ }$
4. 75${}^{\circ }$

Q.

Question 37

In the given figure, line l intersects two parallel lines PQ and RS. Then which one of the following is not true?

(a)$\angle 1=\angle 3$
(b) $\angle 2=\angle 4$
(c) $\angle 6=\angle 7$
(d) $\angle 4=\angle 7$