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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 767 · 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 complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 86°. What is the angle vertically opposite to it (in degrees)?
  3. 3.What is the supplement of 76° (in degrees)?
  4. 4.Two angles are supplementary. One is 72° more than the other. What is the bigger angle (in degrees)?
  5. 5.Two angles are supplementary. One is 94° more than the other. What is the bigger angle (in degrees)?
  6. 6.Are 47° and 129° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 132°. What is its alternate interior angle (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 143°. What is the angle next to it on the same line (in degrees)?
  9. 9.What is the supplement of 172° (in degrees)?
  10. 10.Two angles are supplementary. One is 118° more than the other. What is the bigger angle (in degrees)?
  11. 11.What is the complement of 18° (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 135°. What is the angle vertically opposite to it (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 47°. What is the angle vertically opposite to it (in degrees)?
  14. 14.Two angles are complementary. One is 4° more than the other. What is the bigger angle (in degrees)?
  15. 15.Are 35° and 80° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  16. 16.What is the supplement of 18° (in degrees)?
  17. 17.What is the complement of 40° (in degrees)?
  18. 18.Are 18° and 72° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  19. 19.What is the supplement of 100° (in degrees)?
  20. 20.Two straight lines cross each other. One of the angles formed is 90°. What is the angle vertically opposite to it (in degrees)?
  21. 21.Two angles are supplementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  22. 22.What is the supplement of 124° (in degrees)?
  23. 23.Are 44° and 136° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  24. 24.Are 71° and 109° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  25. 25.What is the supplement of 91° (in degrees)?
  26. 26.What is the supplement of 73° (in degrees)?
  27. 27.What is the complement of 21° (in degrees)?
  28. 28.Two parallel lines are cut by a transversal. One interior angle is 150°. What is its alternate interior angle (in degrees)?
  29. 29.Two angles are supplementary. One is 134° more than the other. What is the bigger angle (in degrees)?
  30. 30.What is the supplement of 175° (in degrees)?
  31. 31.What is the supplement of 8° (in degrees)?
  32. 32.Are 10° and 39° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  33. 33.Two parallel lines are cut by a transversal. One interior angle is 78°. What is its other interior angle on the same side of the transversal (in degrees)?
  34. 34.What is the supplement of 9° (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 146°. What is the angle next to it on the same line (in degrees)?
  36. 36.Are 41° and 139° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  37. 37.What is the complement of 19° (in degrees)?
  38. 38.What is the supplement of 161° (in degrees)?
  39. 39.Two straight lines cross each other. One of the angles formed is 79°. What is the angle next to it on the same line (in degrees)?
  40. 40.Two straight lines cross each other. One of the angles formed is 154°. What is the angle vertically opposite to it (in degrees)?

Answer key

  1. 58
  2. 86
  3. 104
  4. 126
  5. 137
  6. Neither
  7. 132
  8. 37
  9. 8
  10. 149
  11. 72
  12. 135
  13. 47
  14. 47
  15. Neither
  16. 162
  17. 50
  18. Complementary
  19. 80
  20. 90
  21. 102
  22. 56
  23. Supplementary
  24. Supplementary
  25. 89
  26. 107
  27. 69
  28. 150
  29. 157
  30. 5
  31. 172
  32. Neither
  33. 102
  34. 171
  35. 34
  36. Supplementary
  37. 71
  38. 19
  39. 101
  40. 154

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