Practice30Create account

Lines l and m are NOT parallel, and t crosses both. The angle 72° at l and the angle marked ? at m are in corresponding positions. The angle next to ? on line m is 122°. Find the angle marked ?.

Class 7Lines and AnglesLines and Angles
  • A72° (equal to the angle at l)
  • B122° (equal to its neighbour)
  • C58° (not equal to 72°)
  • D108° (180° − 72°)

Step-by-Step Solution

The ? angle and 122° form a linear pair on line m, so ? . Corresponding angles are equal only when the lines are parallel; here , which shows l and m are not parallel.
Answer: C) 58° (not equal to 72°)

Key idea: Parallel lines and a transversal

When a transversal crosses two **parallel** lines, eight angles form (four at each intersection). They come in special pairs:

- **Corresponding angles**: same position at each intersection (e.g. both top-left). **Equal**.
- **Alternate interior angles**: between the parallel lines, on opposite sides of the transversal. **Equal**.
- **Alternate exterior angles**: outside the parallel lines, on opposite sides of the transversal. **Equal**.
- **Co-interior (same-side interior) angles**: between the parallel lines, on the same side of the transversal. **Supplementary** (sum to 180°).

These are the rules you'll use most. Sketch the figure and label what you know — the rest follows quickly.

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Lines and Angles practice questions

More Class 7 Lines and Angles practice

Three lines a, b and c are cut by the transversal t. Using the marked angles, which two…The clock shows 10 o'clock. Find the supplement of the smaller angle between its hands…In the Z-shaped bracket, AB ∥ CD (arrow marks). ∠ABC = (2y + 10)° and ∠BCD = 64°, as…A step-ladder leans against a wall. Its steps are parallel to the floor, and the side…The sun's rays are parallel (arrow marks). At the end of the building's shadow, a ray…