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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 344 · 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.Two angles are supplementary. One is 74° more than the other. What is the bigger angle (in degrees)?
  2. 2.What is the complement of 10° (in degrees)?
  3. 3.What is the supplement of 29° (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 48°. What is its alternate interior angle (in degrees)?
  5. 5.What is the supplement of 63° (in degrees)?
  6. 6.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 118°. What is the angle next to it on the same line (in degrees)?
  8. 8.What is the supplement of 123° (in degrees)?
  9. 9.Are 43° and 47° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  10. 10.Are 49° and 131° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  11. 11.Are 17° and 163° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  12. 12.What is the complement of 68° (in degrees)?
  13. 13.What is the complement of 29° (in degrees)?
  14. 14.What is the complement of 84° (in degrees)?
  15. 15.Two straight lines cross each other. One of the angles formed is 128°. What is the angle next to it on the same line (in degrees)?
  16. 16.What is the supplement of 108° (in degrees)?
  17. 17.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 62°. What is the angle vertically opposite to it (in degrees)?
  19. 19.What is the complement of 85° (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 26°. What is the angle next to it on the same line (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 32°. What is the angle next to it on the same line (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 57°. What is its alternate interior angle (in degrees)?
  23. 23.Two angles are supplementary. One is 138° more than the other. What is the bigger angle (in degrees)?
  24. 24.Two straight lines cross each other. One of the angles formed is 129°. What is the angle next to it on the same line (in degrees)?
  25. 25.What is the supplement of 40° (in degrees)?
  26. 26.What is the supplement of 151° (in degrees)?
  27. 27.Are 44° and 46° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  28. 28.Are 59° and 83° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  29. 29.Two straight lines cross each other. One of the angles formed is 26°. What is the angle vertically opposite to it (in degrees)?
  30. 30.What is the complement of 81° (in degrees)?
  31. 31.What is the complement of 78° (in degrees)?
  32. 32.What is the complement of 9° (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One angle is 112°. What is its corresponding angle (in degrees)?
  34. 34.What is the supplement of 37° (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 136°. What is the angle vertically opposite to it (in degrees)?
  36. 36.Two angles are supplementary. One is 80° more than the other. What is the bigger angle (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One angle is 50°. What is its corresponding angle (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 41°. What is the angle vertically opposite to it (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 33°. What is the angle next to it on the same line (in degrees)?
  40. 40.Two parallel lines are cut by a transversal. One interior angle is 38°. What is its alternate interior angle (in degrees)?

Answer key

  1. 127
  2. 80
  3. 151
  4. 48
  5. 117
  6. 52
  7. 62
  8. 57
  9. Complementary
  10. Supplementary
  11. Supplementary
  12. 22
  13. 61
  14. 6
  15. 52
  16. 72
  17. 64
  18. 62
  19. 5
  20. 154
  21. 148
  22. 57
  23. 159
  24. 51
  25. 140
  26. 29
  27. Complementary
  28. Neither
  29. 26
  30. 9
  31. 12
  32. 81
  33. 112
  34. 143
  35. 136
  36. 130
  37. 50
  38. 41
  39. 147
  40. 38

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