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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 241 · 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 complement of 49° (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 93°. What is its alternate interior angle (in degrees)?
  3. 3.Are 76° and 104° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 42°. What is its alternate interior angle (in degrees)?
  5. 5.Two straight lines cross each other. One of the angles formed is 110°. What is the angle vertically opposite to it (in degrees)?
  6. 6.What is the supplement of 80° (in degrees)?
  7. 7.What is the supplement of 135° (in degrees)?
  8. 8.Are 30° and 150° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  9. 9.What is the complement of 59° (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 157°. What is the angle vertically opposite to it (in degrees)?
  11. 11.Are 71° and 109° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  12. 12.Two parallel lines are cut by a transversal. One interior angle is 40°. What is its alternate interior angle (in degrees)?
  13. 13.What is the complement of 22° (in degrees)?
  14. 14.What is the complement of 12° (in degrees)?
  15. 15.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 53°. What is its other interior angle on the same side of the transversal (in degrees)?
  17. 17.Are 36° and 84° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 56°. What is its other interior angle on the same side of the transversal (in degrees)?
  19. 19.What is the supplement of 67° (in degrees)?
  20. 20.What is the supplement of 31° (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 89°. What is the angle next to it on the same line (in degrees)?
  22. 22.Two angles are supplementary. One is 54° more than the other. What is the bigger angle (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One angle is 52°. What is its corresponding angle (in degrees)?
  24. 24.What is the supplement of 74° (in degrees)?
  25. 25.Two straight lines cross each other. One of the angles formed is 88°. What is the angle next to it on the same line (in degrees)?
  26. 26.Two angles are supplementary. One is 102° more than the other. What is the bigger angle (in degrees)?
  27. 27.Are 52° and 134° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  28. 28.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)?
  29. 29.What is the supplement of 19° (in degrees)?
  30. 30.What is the supplement of 98° (in degrees)?
  31. 31.Two angles are supplementary. One is 100° more than the other. What is the bigger angle (in degrees)?
  32. 32.Are 67° and 71° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  33. 33.What is the complement of 42° (in degrees)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 150°. What is its other interior angle on the same side of the transversal (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One angle is 48°. What is its corresponding angle (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 75°. What is the angle next to it on the same line (in degrees)?
  37. 37.What is the complement of 69° (in degrees)?
  38. 38.What is the supplement of 164° (in degrees)?
  39. 39.Two angles are complementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  40. 40.Are 40° and 22° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary

Answer key

  1. 41
  2. 93
  3. Supplementary
  4. 42
  5. 110
  6. 100
  7. 45
  8. Supplementary
  9. 31
  10. 157
  11. Supplementary
  12. 40
  13. 68
  14. 78
  15. 69
  16. 127
  17. Neither
  18. 124
  19. 113
  20. 149
  21. 91
  22. 117
  23. 52
  24. 106
  25. 92
  26. 141
  27. Neither
  28. 147
  29. 161
  30. 82
  31. 140
  32. Neither
  33. 48
  34. 30
  35. 48
  36. 105
  37. 21
  38. 16
  39. 51
  40. Neither

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