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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 419 · 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 73° (in degrees)?
  2. 2.Two angles are supplementary. One is 50° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the complement of 83° (in degrees)?
  4. 4.What is the complement of 15° (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 149°. What is the angle vertically opposite to it (in degrees)?
  6. 6.Are 42° and 138° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  7. 7.What is the complement of 46° (in degrees)?
  8. 8.What is the supplement of 38° (in degrees)?
  9. 9.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
  10. 10.What is the supplement of 14° (in degrees)?
  11. 11.What is the supplement of 43° (in degrees)?
  12. 12.What is the supplement of 5° (in degrees)?
  13. 13.What is the complement of 39° (in degrees)?
  14. 14.What is the supplement of 128° (in degrees)?
  15. 15.Two angles are supplementary. One is 88° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  17. 17.Two parallel lines are cut by a transversal. One interior angle is 94°. What is its alternate interior angle (in degrees)?
  18. 18.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One angle is 111°. What is its corresponding angle (in degrees)?
  20. 20.What is the complement of 71° (in degrees)?
  21. 21.Are 16° and 164° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  22. 22.What is the complement of 69° (in degrees)?
  23. 23.Are 21° and 159° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  24. 24.What is the supplement of 95° (in degrees)?
  25. 25.Are 79° and 101° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  26. 26.What is the supplement of 163° (in degrees)?
  27. 27.Are 45° and 135° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  28. 28.Two parallel lines are cut by a transversal. One angle is 110°. What is its corresponding angle (in degrees)?
  29. 29.What is the supplement of 117° (in degrees)?
  30. 30.Two parallel lines are cut by a transversal. One angle is 37°. What is its corresponding angle (in degrees)?
  31. 31.Two straight lines cross each other. One of the angles formed is 117°. What is the angle vertically opposite to it (in degrees)?
  32. 32.What is the complement of 57° (in degrees)?
  33. 33.What is the supplement of 142° (in degrees)?
  34. 34.Are 18° and 98° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  35. 35.Two straight lines cross each other. One of the angles formed is 97°. What is the angle vertically opposite to it (in degrees)?
  36. 36.What is the complement of 45° (in degrees)?
  37. 37.Two parallel lines are cut by a transversal. One interior angle is 71°. What is its other interior angle on the same side of the transversal (in degrees)?
  38. 38.Two straight lines cross each other. One of the angles formed is 34°. What is the angle vertically opposite to it (in degrees)?
  39. 39.Are 38° and 92° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  40. 40.Two straight lines cross each other. One of the angles formed is 21°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 107
  2. 115
  3. 7
  4. 75
  5. 149
  6. Supplementary
  7. 44
  8. 142
  9. 52
  10. 166
  11. 137
  12. 175
  13. 51
  14. 52
  15. 134
  16. 63
  17. 94
  18. 50
  19. 111
  20. 19
  21. Supplementary
  22. 21
  23. Supplementary
  24. 85
  25. Supplementary
  26. 17
  27. Supplementary
  28. 110
  29. 63
  30. 37
  31. 117
  32. 33
  33. 38
  34. Neither
  35. 97
  36. 45
  37. 109
  38. 34
  39. Neither
  40. 21

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