Angles in a Transversal

Q. Find the alternate interior angles.

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

Q. AB || DE. Join AD and BD. If $\angle A={43}^{\circ }\text{and}\angle BDE={57}^{\circ }$, then $\angle ABD=$

1. 43${}^{\circ }$
2. 57${}^{\circ }$
3. 36${}^{\circ }$

Q. If ST and UV are parallel lines then, $\angle$d and $\angle$h are __________ .

1. alternate exterior angles
2. corresponding angles
3. co-interior angles
4. alternate interior angles

Q. Refer the figure below. l || m and n is the transversal. Which of the following pairs of angles are co-interior?

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

Q. Find the value of y.

1. 17°
2. 27°
3. 37°
4. 47°

Q. In the given figure, l || m and $\angle$ 1 = 120°. Find $\angle$ 6.

1. 120°
2. 90°
3. 60°
4. 30°

Q. Find the value of x from the given figure.

1. 42°
2. 52°
3. 62°
4. 32°

Q. The two lines are parallel and are cut by a transversal. Find the value of x.

1. 34°
2. 57°
3. 74°
4. 17°

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 following figure, the lines are parallel to each other as shown. Find the angles p, q, r and s.

1. $p=110°,q=70°,r=70°,s=110°$
2. $p=110°,q=70°,r=110°,s=110°$
3. $p=70°,q=110°,r=70°,s=110°$
4. $p=70°,q=70°,r=70°,s=110°$

Q. In the given figure, PQ || RS. Find the values of a, b and c.

1. 20°, 40°, 120°
2. 30°, 50°, 100°
3. 10°, 60°, 110°
4. 15°, 55°, 110°