Alternate Exterior Angles

Q. In the given figure, lines l and m intersect each other at a point. Which of the following can be false?

1. $\angle a=\angle b$
2. $\angle d=\angle c$
3. $\angle a+\angle d={180}^{\circ }$
4. $\angle a=\angle d$

Q. List out all the exterior angles from the following figure.

1. $\angle$ 1 and $\angle$ 2
2. $\angle$ 3 and $\angle$ 4
3. $\angle$ 5 and $\angle$ 6
4. $\angle$ 7 and $\angle$ 8

Q.

In the given diagram, $\angle$XOB and $\angle$YO^'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 the lines l and m are parallel, then find the value of x in the given figure.

1. 160°
2. 70°
3. 30°
4. 20°

Q.

In the given figure two parallel lines l, m are intersected by a tranversal. If $\angle 1={105}^{\circ }$ then $\angle 7$ and $\angle 8$ are

1. ${105}^{\circ },{75}^{\circ }$

2. ${75}^{\circ },{105}^{\circ }$

3. ${95}^{\circ },{85}^{\circ }$

4. ${45}^{\circ },{135}^{\circ }$

Q. In the figure, k || i and l is the transversal. If $\angle 1=(2x+30)°$ and $\angle 7=150°$, then find the value of x.

1. $x=60°$
2. $x=50°$
3. $x=70°$
4. $x=40°$

Q.

Find angle 1 (in degrees) in the figure given below. Given that, the two lines are parallel.

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

2. ${100}^{\circ }$

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

4. ${80}^{\circ }$

Q. In the figure, k || i and l is the transversal. If $\angle 1=(2x+30)°$ and $\angle 7=150°$, then find the value of x.

1. 60

Q.

In the figure given below, identify interior angles

1. ∠1, ∠2, ∠8, ∠7.

2. ∠3, ∠4, ∠5, ∠6.

3. ∠3, ∠2, ∠5, ∠6.

4. ∠1, ∠2, ∠3, ∠4.

Q. In the given figure, lines l and m intersect each other at a point. Which of the following can be false?

1. $\angle d=\angle c$
2. $\angle a+\angle d={180}^{\circ }$
3. $\angle a=\angle d$
4. $\angle a=\angle b$

Q.

The two given lines are parallel. Find the value of angle 1 (in degrees).

___

Q.

In the figure given below, identify the exterior angles.

1. 1, 2, 7, 8.

2. 1, 2, 5, 7.

3. 3, 2, 5, 6.

4. 3, 4, 8, 7.

Q. Find the value of y.

1. 17°
2. 27°
3. 37°
4. 47°