Lines, angles & transversal properties Quiz - ICSE Class 7 Mathematics

Free practice quiz: Lines, angles & transversal properties (ICSE Class 7 Mathematics). 43 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This ICSE Class 7 Mathematics practice quiz has 43 multiple-choice questions on Lines, angles & transversal properties, and 43 of them come with an explanation. Try the 5 sample questions below (tap an option to check yourself), then play the full quiz online. No sign-up needed.

Sample questions

1. If two parallel lines are intersected by a transversal, and one of the interior angles on the same side of the transversal is 60 degrees, what is the measure of the other interior angle on the same side?

   1. 60 degrees
   2. 90 degrees
   3. 120 degrees
   4. 180 degrees
   Show answer

   Answer: C. 120 degrees

   When two parallel lines are intersected by a transversal, consecutive interior angles (or interior angles on the same side of the transversal) are supplementary. This means their sum is 180 degrees. If one interior angle is 60 degrees, the other will be 180 - 60 = 120 degrees.

2. If two parallel lines are intersected by a transversal, and one of the angles formed is 75 degrees, what is the measure of the alternate interior angle to the angle supplementary to this 75-degree angle?

   1. 75 degrees
   2. 105 degrees
   3. 180 degrees
   4. 90 degrees
   Show answer

   Answer: B. 105 degrees

   Let the given angle be 75 degrees. The angle supplementary to this angle is 180 - 75 = 105 degrees. This 105-degree angle is an interior angle. The alternate interior angle to this 105-degree angle is equal to 105 degrees because the lines are parallel.

3. In the figure, AB || CD. EF is a transversal. If angle AGH = 105 degrees, what is the measure of angle DHE?

   1. 105 degrees
   2. 75 degrees
   3. 180 degrees
   4. 90 degrees
   Show answer

   Answer: B. 75 degrees

   Angle AGH and angle BGH form a linear pair, so angle BGH = 180 - 105 = 75 degrees. Angle BGH and angle DHE are alternate interior angles. Since AB || CD, alternate interior angles are equal. Therefore, angle DHE = 75 degrees.

4. Lines AB and CD are parallel. EF is a transversal. If angle CFE = 80 degrees, what is the measure of angle AFE?

   1. 80 degrees
   2. 100 degrees
   3. 180 degrees
   4. 90 degrees
   Show answer

   Answer: B. 100 degrees

   Angle CFE and angle AFE form a linear pair because they are adjacent angles on a straight line (EF). Therefore, they are supplementary. If angle CFE = 80 degrees, then angle AFE = 180 - 80 = 100 degrees.

5. Lines X and Y are parallel. Transversal Z intersects them. If an interior angle is 70 degrees, what is the measure of the corresponding angle on the other parallel line?

   1. 70 degrees
   2. 110 degrees
   3. 180 degrees
   4. 90 degrees
   Show answer

   Answer: A. 70 degrees

   When a transversal intersects two parallel lines, corresponding angles are equal. If one interior angle is 70 degrees, its corresponding angle on the other parallel line is also 70 degrees.

More questions in this quiz

Answers and explanations are in the full quiz.

1. In the given figure, lines l and m are parallel, and line n is a transversal. If angle 1 is 110 degrees, what is the measure of angle 2?
2. Lines AB and CD are parallel, and they are intersected by transversal EF. If angle AEG = 45 degrees, what is the measure of angle GHD?
3. If a transversal intersects two parallel lines, and the measure of one interior angle is 115 degrees, what is the measure of the other interior angle on the same side of the transversal?
4. Lines P and Q are parallel, and line R is a transversal. If angle 'a' is 70 degrees, and angle 'b' is supplementary to angle 'a', what is the measure of the alternate interior angle to angle 'b'?
5. Two parallel lines are intersected by a transversal. If one of the exterior angles is 130 degrees, what is the measure of the interior angle on the opposite side of the transversal (alternate interior angle)?
6. If two parallel lines are intersected by a transversal, and the interior angles on the same side are in the ratio 1:2, what is the measure of the smaller interior angle?
7. Lines L and M are parallel, intersected by transversal N. If an exterior angle is 80 degrees, what is the measure of the interior angle on the same side of the transversal?
8. In the figure, AB || CD. EF is a transversal. If angle AFH = 60 degrees, what is the measure of angle DHF?
9. If two parallel lines are cut by a transversal, and one of the interior angles is 40 degrees, what is the measure of the exterior angle on the same side of the transversal?
10. If a transversal intersects two parallel lines, and the alternate exterior angles are in the ratio 3:5, what is the measure of the smaller exterior angle?
11. Lines a and b are parallel. Transversal t intersects them. If an interior angle on one side of t is 85 degrees, what is the measure of the corresponding angle on the other parallel line?
12. If two parallel lines are intersected by a transversal, and the angle vertically opposite to an interior angle is 65 degrees, what is the measure of the alternate interior angle to the first interior angle?
13. In the given figure, AB || CD. EF is a transversal. If angle EGB = 100 degrees, what is the measure of angle CHF?
14. If a transversal intersects two lines, and the sum of the interior angles on one side is 180 degrees, what can be concluded about the two lines?
15. If two parallel lines are intersected by a transversal, and one of the angles formed is 100 degrees, what is the measure of the alternate exterior angle to this angle?
16. If a transversal intersects two parallel lines, and one of the interior angles is 70 degrees, what is the measure of the exterior angle on the opposite side of the transversal?
17. Two parallel lines are intersected by a transversal. If one of the angles formed is 45 degrees, and it is an interior angle on one side, what is the measure of the exterior angle on the *other* side of the transversal, which is *not* vertically opposite to the first angle?
18. In the figure, AB || CD. EF is a transversal. If angle BGF = 85 degrees, what is the measure of angle DHF?
19. If two parallel lines are intersected by a transversal, and one interior angle is 50 degrees, what is the measure of the alternate interior angle?
20. Lines X and Y are parallel. Transversal Z intersects them. If an exterior angle is 110 degrees, what is the measure of the interior angle on the same side of the transversal?
21. In the figure, AB || CD. EF is a transversal. If angle AFH = 130 degrees, what is the measure of angle BGE?
22. If two parallel lines are intersected by a transversal, and one of the interior angles is 90 degrees, what is the measure of the other interior angle on the same side of the transversal?
23. If a transversal intersects two parallel lines, and one of the corresponding angles is 120 degrees, what is the measure of the alternate interior angle to the adjacent angle on the same side of the transversal?
24. In the figure, AB || CD. EF is a transversal. If angle EGB = 75 degrees, what is the measure of angle CHF?
25. Lines P and Q are parallel, intersected by transversal R. If an interior angle is 110 degrees, what is the measure of the alternate exterior angle?
26. If a transversal intersects two parallel lines, and the sum of the alternate interior angles is 120 degrees, what is the measure of each alternate interior angle?
27. Lines L and M are parallel. Transversal N intersects them. If an interior angle on one side is 80 degrees, what is the measure of the exterior angle on the opposite side of the transversal?
28. If a transversal intersects two parallel lines, and one of the exterior angles is 70 degrees, what is the measure of the interior angle on the same side of the transversal?
29. If two parallel lines are intersected by a transversal, and one interior angle is 105 degrees, what is the measure of the exterior angle on the same side of the transversal?
30. If two parallel lines are intersected by a transversal, and one of the interior angles is 75 degrees, what is the measure of the alternate interior angle?
31. If two parallel lines are intersected by a transversal, and the sum of the corresponding angles is 150 degrees, what is the measure of each corresponding angle?
32. Lines AB and CD are parallel. EF is a transversal. If angle CFE = 115 degrees, what is the measure of angle AFE?
33. If a transversal intersects two parallel lines, and one of the interior angles is 40 degrees, what is the measure of the corresponding angle?
34. If a transversal intersects two parallel lines, and one of the interior angles is 60 degrees, what is the measure of the exterior angle on the opposite side of the transversal?
35. If two parallel lines are intersected by a transversal, and one of the corresponding angles is 80 degrees, what is the measure of the interior angle on the same side of the transversal?
36. Lines P and Q are parallel. Transversal R intersects them. If an interior angle is 65 degrees, what is the measure of the alternate exterior angle?
37. In the figure, AB || CD. EF is a transversal. If angle CFE = 70 degrees, what is the measure of angle BGF?
38. Lines AB and CD are parallel. EF is a transversal. If angle BGE = 80 degrees, what is the measure of angle CHF?

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