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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 732 · 40 sums
TalentJR

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

NameDateTime takenScore ___ / 40
  1. 1.What is the supplement of 140° (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 38°. What is the angle next to it on the same line (in degrees)?
  3. 3.What is the supplement of 129° (in degrees)?
  4. 4.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One interior angle is 63°. What is its alternate interior angle (in degrees)?
  6. 6.Are 71° and 109° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  7. 7.What is the supplement of 52° (in degrees)?
  8. 8.Two angles are supplementary. One is 62° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two parallel lines are cut by a transversal. One interior angle is 107°. What is its other interior angle on the same side of the transversal (in degrees)?
  10. 10.What is the complement of 31° (in degrees)?
  11. 11.Are 46° and 134° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  12. 12.Are 51° and 129° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  13. 13.Two angles are complementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  14. 14.Two parallel lines are cut by a transversal. One interior angle is 80°. What is its alternate interior angle (in degrees)?
  15. 15.Two parallel lines are cut by a transversal. One interior angle is 47°. What is its other interior angle on the same side of the transversal (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 48°. What is its other interior angle on the same side of the transversal (in degrees)?
  17. 17.Are 74° and 41° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  18. 18.Are 32° and 24° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  19. 19.Two parallel lines are cut by a transversal. One interior angle is 61°. What is its alternate interior angle (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One angle is 142°. What is its corresponding angle (in degrees)?
  21. 21.Two parallel lines are cut by a transversal. One interior angle is 61°. What is its other interior angle on the same side of the transversal (in degrees)?
  22. 22.Two straight lines cross each other. One of the angles formed is 152°. What is the angle next to it on the same line (in degrees)?
  23. 23.Are 50° and 13° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  24. 24.Are 51° and 39° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  25. 25.Two angles are supplementary. One is 86° more than the other. What is the bigger angle (in degrees)?
  26. 26.What is the supplement of 89° (in degrees)?
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 129°. What is its alternate interior angle (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One angle is 89°. What is its corresponding angle (in degrees)?
  29. 29.What is the supplement of 108° (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One angle is 116°. What is its corresponding angle (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 20°. What is the angle next to it on the same line (in degrees)?
  32. 32.Are 22° and 158° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  33. 33.Two straight lines cross each other. One of the angles formed is 116°. What is the angle vertically opposite to it (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One angle is 65°. What is its corresponding angle (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 98°. What is the angle next to it on the same line (in degrees)?
  36. 36.Two parallel lines are cut by a transversal. One angle is 43°. What is its corresponding angle (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One angle is 36°. What is its corresponding angle (in degrees)?
  38. 38.Are 16° and 74° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 35°. What is its other interior angle on the same side of the transversal (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 59°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 40
  2. 142
  3. 51
  4. 57
  5. 63
  6. Supplementary
  7. 128
  8. 121
  9. 73
  10. 59
  11. Supplementary
  12. Supplementary
  13. 70
  14. 80
  15. 133
  16. 132
  17. Neither
  18. Neither
  19. 61
  20. 142
  21. 119
  22. 28
  23. Neither
  24. Complementary
  25. 133
  26. 91
  27. 129
  28. 89
  29. 72
  30. 116
  31. 160
  32. Supplementary
  33. 116
  34. 65
  35. 82
  36. 43
  37. 36
  38. Complementary
  39. 145
  40. 59

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