Alternate Interior Angles

Q.

In the given figure AC is parallel to DE. Find the value of x and y

1. $x={80}^{\circ }$

   $y={100}^{\circ }$

2. $x={90}^{\circ }$

   $y={90}^{\circ }$

3. $x={95}^{\circ }$

   $y={85}^{\circ }$

4. $x={85}^{\circ }$

   $y={95}^{\circ }$

Q.

In the given figure AB is parallel to ED. If $\angle ABC={50}^{\circ }$ and $\angle EDC={40}^{\circ }$

then find the value of a and b.

1. $a={90}^{\circ }andb={270}^{\circ }$

2. $a={290}^{\circ }andb={70}^{\circ }$

3. $a={270}^{\circ }andb={90}^{\circ }$

4. $a={250}^{\circ }andb={110}^{\circ }$

Q.

If AB and CD are parallel, find the measure of angle x

1. 15°

2. 105°

3. 21°

4. 51°

Q.

If two interior angles on the same side of a transversal are in the ratio 4:5, then the smaller angle is

1. 40°

2. 80°

3. 60°

4. 100°

Q. What is the value of x in degrees?

1. 72
2. 45
3. 34
4. 68

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

​

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

Q.

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

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

Q.

In the given figure, for what value of 'x' will AB || CD?

1. ${87}^{\circ }$

2. ${63}^{\circ }$

3. ${19}^{\circ }$

4. ${29}^{\circ }$

Q.

In the figure a pair of parallel lines are cut by a transversal. Find the value of a and b respectively.

1. ${72}^{\circ },{72}^{\circ }$

2. ${72}^{\circ },{47}^{\circ }$

3. ${57}^{\circ },{62}^{\circ }$

4. ${62}^{\circ },{62}^{\circ }$

Q.

In the fig. below, if AB || CD, $\angle$APQ = 50${}^{\circ }$ and $\angle$PRD = 127${}^{\circ }$, find x and y.

​

1. 50${}^{\circ }$, 67${}^{\circ }$

2. 50${}^{\circ }$, 77${}^{\circ }$

3. 77${}^{\circ }$, 87${}^{\circ }$

4. 77${}^{\circ }$, 97${}^{\circ }$