Parallel lines with transversal

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

1. True
2. False

Q.

Question 44

Fill in the blanks to make the statement true.

A transversal intersects two or more than two lines at ___ points.

Q.

why are the pair of interior angles formed by traversal and two parallel line adds up to 180 ?

Q.

Match the following:

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

1. a – iv, b – ii, c – iii, d - i

2. a – iv, b – iii, c – i, d - ii

3. a – iii, b – iv, c – i, d - ii

4. a – iii, b – iv, c – ii, d - i

Q.

Find m∠C in the following figure if

Q.

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

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

Q.

If the arms of one angle are respectively parallel to the arms of another angle, then the two angles are :

1. Neither equal nor supplementary

2. Equal but not supplementary

3. Either equal or supplementary.

4. Not equal but supplementary

Q. AB is parallel to CD, EF intersects them at M and N. The bisectors of $\angle BMNand\angle MND$ meet at Q. If $\angle AME={80}^{\circ }$, then $\angle MQN$ is:

1. ${90}^{\circ }$
2. ${70}^{\circ }$
3. ${80}^{\circ }$
4. ${60}^{\circ }$

Q. In figure, if AB ∥ CD, CD ∥ EF and y : z = 3 : 7, then find x.

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

Q. In the figure, AB || DC, then the measure of $\angle D$ is equal to

1. 
2. 
3. 
4. 

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

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

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

1. 
2. 
3. 
4. 

Q.

It is given that, AB || DE. Find the value of y, if $\angle$ABC= ${110}^{\circ }$ and $\angle$CDE= ${100}^{\circ }$.

1. 

2. 

3. 

4. 

Q.

There are two lines, AB and CD, which are parallel to each other. ∠AMN= ${20}^{\circ }$. Find the value of x .

1. 

2. 

3. 90

4.