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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 782 · 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.Are 74° and 16° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  2. 2.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)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 143°. What is its other interior angle on the same side of the transversal (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 154°. What is the angle next to it on the same line (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 30°. What is the angle vertically opposite to it (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 36°. What is its alternate interior angle (in degrees)?
  7. 7.Are 18° and 55° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  8. 8.Are 15° and 75° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  9. 9.What is the supplement of 66° (in degrees)?
  10. 10.Are 35° and 55° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  11. 11.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  12. 12.Two angles are supplementary. One is 128° more than the other. What is the bigger angle (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 60°. What is the angle vertically opposite to it (in degrees)?
  14. 14.What is the complement of 70° (in degrees)?
  15. 15.What is the complement of 6° (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 36°. What is its other interior angle on the same side of the transversal (in degrees)?
  17. 17.What is the supplement of 161° (in degrees)?
  18. 18.What is the complement of 37° (in degrees)?
  19. 19.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  20. 20.Are 32° and 148° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  21. 21.What is the complement of 21° (in degrees)?
  22. 22.What is the complement of 24° (in degrees)?
  23. 23.Are 47° and 43° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  24. 24.Two straight lines cross each other. One of the angles formed is 128°. What is the angle vertically opposite to it (in degrees)?
  25. 25.Are 27° and 63° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  26. 26.What is the complement of 32° (in degrees)?
  27. 27.What is the complement of 27° (in degrees)?
  28. 28.Two angles are supplementary. One is 32° more than the other. What is the bigger angle (in degrees)?
  29. 29.What is the supplement of 101° (in degrees)?
  30. 30.Are 66° and 24° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  31. 31.Two straight lines cross each other. One of the angles formed is 20°. What is the angle vertically opposite to it (in degrees)?
  32. 32.What is the supplement of 112° (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 85°. What is its alternate interior angle (in degrees)?
  34. 34.Are 51° and 123° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  35. 35.Are 50° and 40° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  36. 36.Are 76° and 14° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 108°. What is its alternate interior angle (in degrees)?
  38. 38.Two parallel lines are cut by a transversal. One angle is 72°. What is its corresponding angle (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One angle is 134°. What is its corresponding angle (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 108°. What is the angle next to it on the same line (in degrees)?

Answer key

  1. Complementary
  2. 119
  3. 37
  4. 26
  5. 30
  6. 36
  7. Neither
  8. Complementary
  9. 114
  10. Complementary
  11. 57
  12. 154
  13. 60
  14. 20
  15. 84
  16. 144
  17. 19
  18. 53
  19. 51
  20. Supplementary
  21. 69
  22. 66
  23. Complementary
  24. 128
  25. Complementary
  26. 58
  27. 63
  28. 106
  29. 79
  30. Complementary
  31. 20
  32. 68
  33. 85
  34. Neither
  35. Complementary
  36. Complementary
  37. 108
  38. 72
  39. 134
  40. 72

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