Angles Associated with Two Parallel Lines and a Transversal

Q.

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

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.

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.

When a transversal intersects two parallel lines, then

1. Pairs of interior alternate angles are equal.

2. Pairs of exterior alternate angles are equal.

3. Pairs of corresponding angles are equal.

4. Pairs of co-interior angles are complementary.

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 figure given below, find $x$ if AB || CD.

1. 45${}^{\circ }$

2. 55${}^{\circ }$

3. 60${}^{\circ }$

4. 70${}^{\circ }$

Q.

Find the value of x.

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. 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.

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