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CBSE · Class 7 · Mathematics

Parallel and Intersecting Lines

Standard difficulty · 20 questions · 40 marks

Name: Date: Score: ____ / 40

Show your working for Sections B and C. Answers are on the last page — try every question first!

Section A — Choose the correct answer8 × 1 = 8 marks
1.
Two lines cross. One angle is 50°. The angle vertically opposite it is:
  1. 130°
  2. 50°
  3. 40°
  4. 310°
2.
Two angles form a linear pair. One is 72°. The other is:
  1. 108°
  2. 72°
  3. 288°
  4. 18°
3.
When two lines cross, the angles opposite each other are called:
  1. corresponding angles
  2. alternate angles
  3. vertically opposite angles
  4. co-interior angles
4.
A transversal crosses two parallel lines, making a 40° angle at the first line. The corresponding angle at the second line is:
  1. 50°
  2. 320°
  3. 140°
  4. 40°
5.
Two parallel lines are cut by a transversal. One interior angle is 135°. The interior angle on the same side of the transversal is:
  1. 46°
  2. 135°
  3. 225°
  4. 45°
6.
A transversal makes alternate angles of 116° and 116° with two lines. The lines are:
  1. parallel
  2. perpendicular
  3. not parallel
  4. the same line
7.
Two lines cross and one angle is 70°. The angle opposite it is:
  1. 290°
  2. 70°
  3. 110°
  4. 20°
8.
The two angles of a linear pair are in the ratio 5 : 1. The larger angle is:
  1. 150°
  2. 151°
  3. 30°
  4. 210°
Section B — Short answer8 × 2 = 16 marks
9.
Two lines cross and one of the angles is 128°. Find the other three angles.
10.
Two angles form a linear pair. One is 20° more than the other. Find both.
11.
A transversal crosses two parallel lines, making 8 angles. One of them is 122°. What are the sizes of all 8 angles?
12.
A transversal makes interior angles of 114° and 57° on the same side, between two lines. Are the lines parallel? Why?
13.
Three lines pass through one point. Three angles next to each other along a straight line are 94°, 55° and x. Find x.
14.
Lines l and m are perpendicular. A third line through their crossing point makes 72° with l. What angle does it make with m?
15.
Two parallel lines are cut by a transversal. One angle is 121°. Find its alternate angle and its co-interior angle.
16.
Two angles of a linear pair are in the ratio 7 : 8. Find them.
Section C — Word problems4 × 4 = 16 marks
17.
A straight road crosses two parallel railway tracks, making a 95° angle with the first track. Find the corresponding angle at the second track, the alternate angle, and the co-interior angle.
18.
The blades of a pair of scissors cross at an angle of 48°. Find the other three angles made where they cross.
19.
Asha's ladder has parallel rungs. One side rail makes an angle of 80° with the bottom rung (inside the ladder). What angle does it make with the next rung up, on the same inside?
20.
Two parallel streets are crossed by a straight lane. At the first street the lane makes 108° on its right-hand side. What angle does it make at the second street on the opposite side of the lane, between the streets (the alternate angle)?
AmbifulWorksheets
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CBSE · Class 7 · Mathematics

Answer key

Parallel and Intersecting Lines · AW-7M-PIL-2026-V1 · For parents — fold back or tear off before handing the sheet to your child.

QAnswerWorking
1(b) 50°vertically opposite angles are equal
2(a) 108°180° − 72°
3(c) vertically opposite angles—
4(d) 40°corresponding angles are equal when the lines are parallel
5(d) 45°co-interior angles add up to 180°: 180° − 135°
6(a) parallelalternate angles are equal
7(b) 70°vertically opposite angles are equal
8(a) 150°180° ÷ 6 = 30°; × 5
952°, 128°, 52°vertically opposite angles are equal; neighbours add up to 180°
1080° and 100°(180° − 20°) ÷ 2 = 80°
11four of 122° and four of 58°corresponding, alternate and vertically opposite angles are equal; linear pairs add to 180°
12No114° + 57° = 171°; parallel lines give 180°
1331°180° − 94° − 55°
1418°90° − 72°
15alternate 121°; co-interior 59°alternate angles are equal; co-interior angles add to 180°
1684° and 96°180° ÷ 15 = 12°
1795°, 95°, 85°corresponding and alternate angles are equal; co-interior angles add to 180°
18132°, 48°, 132°opposite angles are equal; neighbouring angles add to 180°
19100°co-interior angles between parallel rungs add to 180°: 180° − 80°
20108°alternate angles between parallel lines are equal