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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 560 · 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 parallel lines are cut by a transversal. One interior angle is 46°. What is its other interior angle on the same side of the transversal (in degrees)?
  2. 2.Are 71° and 34° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  3. 3.Are 37° and 91° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  4. 4.Are 23° and 67° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  5. 5.What is the complement of 48° (in degrees)?
  6. 6.What is the complement of 80° (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 157°. What is the angle vertically opposite to it (in degrees)?
  8. 8.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  9. 9.What is the supplement of 13° (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One interior angle is 88°. What is its alternate interior angle (in degrees)?
  11. 11.What is the complement of 25° (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 57°. What is the angle next to it on the same line (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 144°. What is the angle next to it on the same line (in degrees)?
  14. 14.What is the supplement of 71° (in degrees)?
  15. 15.What is the supplement of 66° (in degrees)?
  16. 16.Two straight lines cross each other. One of the angles formed is 92°. What is the angle vertically opposite to it (in degrees)?
  17. 17.What is the supplement of 31° (in degrees)?
  18. 18.Two straight lines cross each other. One of the angles formed is 150°. What is the angle next to it on the same line (in degrees)?
  19. 19.What is the complement of 9° (in degrees)?
  20. 20.Are 65° and 115° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  21. 21.What is the supplement of 153° (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One interior angle is 147°. What is its alternate interior angle (in degrees)?
  23. 23.What is the supplement of 140° (in degrees)?
  24. 24.What is the supplement of 61° (in degrees)?
  25. 25.What is the complement of 14° (in degrees)?
  26. 26.What is the complement of 24° (in degrees)?
  27. 27.Are 15° and 165° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  28. 28.What is the complement of 33° (in degrees)?
  29. 29.Are 16° and 62° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  30. 30.Are 60° and 120° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  31. 31.Two straight lines cross each other. One of the angles formed is 124°. What is the angle vertically opposite to it (in degrees)?
  32. 32.Two straight lines cross each other. One of the angles formed is 48°. What is the angle next to it on the same line (in degrees)?
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 94°. What is its alternate interior angle (in degrees)?
  34. 34.What is the supplement of 161° (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 60°. What is the angle vertically opposite to it (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 42°. What is the angle next to it on the same line (in degrees)?
  37. 37.Are 59° and 121° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  38. 38.Are 24° and 127° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  39. 39.What is the supplement of 144° (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 115°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 134
  2. Neither
  3. Neither
  4. Complementary
  5. 42
  6. 10
  7. 157
  8. 46
  9. 167
  10. 88
  11. 65
  12. 123
  13. 36
  14. 109
  15. 114
  16. 92
  17. 149
  18. 30
  19. 81
  20. Supplementary
  21. 27
  22. 147
  23. 40
  24. 119
  25. 76
  26. 66
  27. Supplementary
  28. 57
  29. Neither
  30. Supplementary
  31. 124
  32. 132
  33. 94
  34. 19
  35. 60
  36. 138
  37. Supplementary
  38. Neither
  39. 36
  40. 115

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