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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 957 · 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 straight lines cross each other. One of the angles formed is 60°. What is the angle next to it on the same line (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One interior angle is 37°. What is its other interior angle on the same side of the transversal (in degrees)?
  3. 3.What is the complement of 76° (in degrees)?
  4. 4.What is the complement of 63° (in degrees)?
  5. 5.What is the complement of 17° (in degrees)?
  6. 6.What is the supplement of 31° (in degrees)?
  7. 7.Two angles are supplementary. One is 120° more than the other. What is the bigger angle (in degrees)?
  8. 8.Two parallel lines are cut by a transversal. One interior angle is 74°. What is its alternate interior angle (in degrees)?
  9. 9.What is the complement of 27° (in degrees)?
  10. 10.What is the supplement of 112° (in degrees)?
  11. 11.What is the complement of 8° (in degrees)?
  12. 12.Two angles are supplementary. One is 52° more than the other. What is the bigger angle (in degrees)?
  13. 13.Two straight lines cross each other. One of the angles formed is 137°. What is the angle next to it on the same line (in degrees)?
  14. 14.Two straight lines cross each other. One of the angles formed is 48°. What is the angle vertically opposite to it (in degrees)?
  15. 15.What is the complement of 43° (in degrees)?
  16. 16.What is the complement of 5° (in degrees)?
  17. 17.Are 44° and 136° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  18. 18.Two straight lines cross each other. One of the angles formed is 86°. What is the angle vertically opposite to it (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 36°. What is the angle next to it on the same line (in degrees)?
  20. 20.Two parallel lines are cut by a transversal. One interior angle is 33°. What is its other interior angle on the same side of the transversal (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 138°. What is the angle vertically opposite to it (in degrees)?
  22. 22.Two parallel lines are cut by a transversal. One angle is 95°. What is its corresponding angle (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 20°. What is the angle next to it on the same line (in degrees)?
  24. 24.What is the complement of 13° (in degrees)?
  25. 25.What is the complement of 61° (in degrees)?
  26. 26.What is the complement of 6° (in degrees)?
  27. 27.What is the supplement of 107° (in degrees)?
  28. 28.Two straight lines cross each other. One of the angles formed is 75°. What is the angle vertically opposite to it (in degrees)?
  29. 29.What is the complement of 12° (in degrees)?
  30. 30.Are 23° and 53° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  31. 31.Two straight lines cross each other. One of the angles formed is 148°. What is the angle next to it on the same line (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One angle is 148°. What is its corresponding angle (in degrees)?
  33. 33.Are 19° and 71° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  34. 34.Two angles are supplementary. One is 130° more than the other. What is the bigger angle (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 79°. What is its alternate interior angle (in degrees)?
  36. 36.What is the complement of 57° (in degrees)?
  37. 37.What is the complement of 25° (in degrees)?
  38. 38.What is the complement of 40° (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 62°. What is its other interior angle on the same side of the transversal (in degrees)?
  40. 40.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 120
  2. 143
  3. 14
  4. 27
  5. 73
  6. 149
  7. 150
  8. 74
  9. 63
  10. 68
  11. 82
  12. 116
  13. 43
  14. 48
  15. 47
  16. 85
  17. Supplementary
  18. 86
  19. 144
  20. 147
  21. 138
  22. 95
  23. 160
  24. 77
  25. 29
  26. 84
  27. 73
  28. 75
  29. 78
  30. Neither
  31. 32
  32. 148
  33. Complementary
  34. 155
  35. 79
  36. 33
  37. 65
  38. 50
  39. 118
  40. 57

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