Maths worksheets · lesson 52 of 64 · free

Lines and angles — Maths worksheet

Two angles that add up to 90° are complementary; two that add up to 180° are supplementary. When two lines cross, the angles opposite each other are equal (vertically opposite angles) and the angles next to each other on a line add up to 180°. When a line cuts two parallel lines, corresponding angles and alternate interior angles are equal, and the interior angles on the same side add up to 180°.

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The method

90, 180, equal — “complementary make 90°, supplementary make 180°, vertically opposite angles are equal”

  1. Complement of a = 90 − a. Supplement of a = 180 − a.
  2. Lines crossing: vertically opposite angles are equal; a linear pair adds up to 180°.
  3. Parallel lines: corresponding angles equal, alternate interior angles equal, interior angles on the same side add up to 180°.
  4. One angle d° more than the other: bigger = (total + d) ÷ 2.

Use it for: Roads crossing, railway tracks, scissors and ladders, and the lines and angles chapter of Class 7 maths.

Worked example: What is the supplement of 112° (in degrees)? → 68

  1. Supplementary angles add up to 180°.
  2. 180 − 112 = 68.

Check: 112 + 68 = 180 ✓

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🏁 Lesson 52 test

20 sums. Check each answer, then go to the next one. Get 16 or more right to pass.

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🖨️ Class 7 Maths Worksheet: Lines and Angles

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