Lines Parallel to the Same Line

Q. In the given figure, if AB || CD || EF, PQ || RS, $\angle RQD={25}^{\circ }$ and $\angle CQP={60}^{\circ }$, then $\angle QRS$ is equal to

1. ${85}^{\circ }$
2. ${135}^{\circ }$
3. ${145}^{\circ }$
4. ${110}^{\circ }$

Q.

Two lines intersect on a point. True or False?

1. True

2. False

Q. If a transversal intersects two lines such that a pair of alternate interior angles is equal , then the two lines are parallel.

Q.

In the figure, l, m and n are parallel lines intersected by transversal p at X, Y and Z respectively. Find $\angle 1,\angle 2$ and $\angle 3$.

Q.

In the adjoining figure, it is given that AB || CD, $\angle$BAO = 108${}^{\circ }$ and $\angle$OCD = 120${}^{\circ }$ then $\angle$AOC = ________.

1. 120°

2. 72°

3. 132°

4. 150°

Q. In figure AB || CD. Find the value of x.

Q.

In the figure, AB || CD and $\angle 1$ and $\angle 2$ are in the ratio 3:2. Determine all angles from 1 to 8.

Q.

If two straight lines are perpendicular to a line l, then they are.

1. Parallel to each other

2. Perpendicular to each other

3. The lines intersect each other when extended

4. The angle between the two lines is 180^o

Q.

Find the value of $x$ in the following figure.

Q.

If two interior angles on the same side of a traversal intersecting two parallel lines are in the ratio 2: 3, then the smaller of the two angles is:

1. 108^o

2. 36^o

3. 54^o

4. 72^o

Q.

Draw a line segment $AB=8cm$. Take any point $P$ outside it . Using scale and compasses, draw a line through $P$ parallel to $AB$.

Q. In the figure, if AB ∥ CD, CD ∥ EF and $y:z=3:7$, then the value of $x$ is:

1. ${112}^{\circ }$
2. ${116}^{\circ }$
3. ${96}^{\circ }$
4. ${126}^{\circ }$

Q.

If two straight lines are perpendicular to a line l, then they are

1. The angle between the two lines is 180^o

2. Parallel to each other

3. The lines intersect each other when extended

4. Perpendicular to each other

Q. If two lines, AB and EF, are parallel to a third line, CD, then what can we say about the lines AB and EF?

1. AB and EF are parallel to each other.
2. We cannot say anything about AB and EF.
3. AB and EF are perpendicular to each other.
4. AB and EF intersect each other, but not at right angles.

Q. In figure AB || CD. Find the value of x.

Q.

Distance between two parallel lines is everywhere …………………..

Q.

In the given figure AB||CD and CD||RE. If y:z =3:7 then x

$\left(a\right){108}^{\circ }$

$\left(b\right){126}^{\circ }$

$\left(c\right){162}^{\circ }$

$\left(d\right){63}^{\circ }$

Q.

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

1. 
2. 
3. 
4. 

Q.

In the figure, if l||m||n and $\angle 1={60}^0$, find $\angle 2$.

Q.

If a transversal intersects a pair of lines in such a way that a pair of alternate angles are equal, then the lines are_______.

Q. In the given figure, $AB||CD$, then which of the following is always true?

1. $x=y+z$
2. $x-y+z=180$
3. $x+y+z=180$
4. $z+x=y$

Q.

_______ are the lines that are always the same distance apart, and will never intersects.

Q.

Two lines that are respectively perpendicular to two intersecting lines always intersect each other.

1. True

2. False

Q. In the given figure, the straight line AB and CD are parallel to each other. If angle $p={55}^o$, and, $q={43}^o$ then answer the given questions. Find the value $r$.

1. ${55}^o$
2. ${82}^o$
3. ${108}^o$
4. ${43}^o$

Q.

Two intersecting straight lines have

1. Infinitely many points in common

2. Two points in common

3. Only one point in common

4. No points in common

Q.

Two lines that are respectively parallel to two intersecting lines. Do they intersect each other.

1. False

2. True

Q.

In the figure, which of the following statements must be true?
(i)a+b=d+c (ii)a+c+ e = ${180}^0$
(iii) b+f=c+e

Q. In the figure, AC || DF.
$\angle CBO={40}^{\circ }\text{and}\angle FEO={30}^{\circ }$
What is the value of the reflex angle $\angle BOE$?

1. ${290}^{\circ }$
2. ${70}^{\circ }$
3. ${105}^{\circ }$
4. ${45}^{\circ }$

Q. Two lines that are respectively parallel to two intersecting lines, intersect each other.

1. True
2. False
3. Ambiguous
4. Data Insufficient

Q.

In the adjoining figure, it is given that AB || CD, $\angle$BAO = 108${}^{\circ }$ and $\angle$OCD = 120${}^{\circ }$ then $\angle$AOC = ________.

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

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

3. 132${}^{\circ }$

4. 150${}^{\circ }$