Properties of two parallel lines cut by a transversal

Q.

If two parallel lines are cut by a transversal then each pair of interior angles on the same side of transversal are ______

Q.

Assertion : If a transversal intersects two lines such that a pair of corresponding angles is equal, then the two lines are parallel to each other.
Reason : If two lines intersect each other, then the vertically opposite angles are equal.
Which of the following is correct

1. A is true but R is false.

2. A is false but R is true.

3. Both A and R are true and R is the correct explanation of A.

4. Both A and R are true and R is not the correct explanation of A.

Q.

Question 6 (iii)
In the given figures below, decide whether l is parallel to m.

Q. Match the value of x in each case;

1. ${45}^{\circ }$
2. ${135}^{\circ }$
3. ${35}^{\circ }$

Q.

Question 6 (iv)
In the given figures below, decide whether l is parallel to m.

Q. Two lines are respectively perpendicular to two parallel lines. Show that they are parallel to each other.

Q. Vertically opposite angles are equal.

1. False
2. True

Q.

Find the value of \(\angle 1\)

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

Q.

In the given diagram, $\angle XOB$ and \(\angleYO^'P\) are called ________.

1. corresponding angles

2. alternate interior angles

3. alternate exterior angles

4. interior angles on the same side of the transversal

Q.

If ED is parallel to AB, then angle n is equal to___ (in degrees).

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. 5^o

4. 60 ^o

Q.

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

1. alternate interior angles

2. alternate exterior angles

3. interior angles on the same side of the transversal

4. corresponding angles

Q. When two parallel lines are cut by a transversal, the angles are supplementary.

1. corresponding
2. alternate
3. co-interior

Q. Match the value of x in each case;

1. ${45}^{\circ }$
2. ${135}^{\circ }$
3. ${120}^{\circ }$

Q. Co.interior opposite angles are complementary.

1. True
2. False

Q. A transversal is a line which intersects two or more lines at distinct points.

1. True
2. False

Q.

If ED is parallel to AB, then angle n is equal to___ (in degrees).

Q. Match the value of x in each case;

1. ${45}^{\circ }$
2. ${135}^{\circ }$
3. ${120}^{\circ }$