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Class 7 Parallel and Intersecting Lines worksheet

CBSE Mathematics. Vertically opposite angles, linear pairs, perpendicular lines, transversals: corresponding, alternate and co-interior angles. Every sheet has 20 questions in three sections and an answer key, and the numbers change every time.

Open a printable sample sheetCheat sheet: formulas and key points

Sample questions

Real questions from this chapter, as the app sets them. Tap Answer to see the answer and working.

Section A · multiple choice

  1. 1.

    Two lines cross. One angle is 50°. The angle vertically opposite it is:

    1. 130°
    2. 50°
    3. 40°
    4. 310°
    Answer

    (b) 50°

    vertically opposite angles are equal

  2. 2.

    Two angles form a linear pair. One is 72°. The other is:

    1. 108°
    2. 72°
    3. 288°
    4. 18°
    Answer

    (a) 108°

    180° − 72°

  3. 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
    Answer

    (c) vertically opposite angles

Section B · short answer

  1. 4.

    Two lines cross and one of the angles is 128°. Find the other three angles.

    Answer

    52°, 128°, 52°

    vertically opposite angles are equal; neighbours add up to 180°

  2. 5.

    Two angles form a linear pair. One is 20° more than the other. Find both.

    Answer

    80° and 100°

    (180° − 20°) ÷ 2 = 80°

Section C · long answer

  1. 6.

    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.

    Answer

    95°, 95°, 85°

    corresponding and alternate angles are equal; co-interior angles add to 180°

Fresh sheets for your child

In the app, every Parallel and Intersecting Lines sheet is new: the app remembers the questions your child has already had and leaves them out. Print the sheet as a PDF, or use notebook mode and write the answers in a notebook.

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