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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 887 · 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 98°. What is its other interior angle on the same side of the transversal (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 80°. What is the angle vertically opposite to it (in degrees)?
  3. 3.Are 18° and 162° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  4. 4.Two straight lines cross each other. One of the angles formed is 151°. What is the angle vertically opposite to it (in degrees)?
  5. 5.Two parallel lines are cut by a transversal. One angle is 53°. What is its corresponding angle (in degrees)?
  6. 6.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 142°. What is the angle next to it on the same line (in degrees)?
  8. 8.Two angles are supplementary. One is 76° more than the other. What is the bigger angle (in degrees)?
  9. 9.Two angles are complementary. One is 34° more than the other. What is the bigger angle (in degrees)?
  10. 10.Two parallel lines are cut by a transversal. One angle is 65°. What is its corresponding angle (in degrees)?
  11. 11.What is the complement of 73° (in degrees)?
  12. 12.Two straight lines cross each other. One of the angles formed is 30°. What is the angle next to it on the same line (in degrees)?
  13. 13.What is the complement of 75° (in degrees)?
  14. 14.Are 69° and 21° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  15. 15.What is the complement of 47° (in degrees)?
  16. 16.What is the complement of 18° (in degrees)?
  17. 17.What is the supplement of 164° (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 93°. What is its other interior angle on the same side of the transversal (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One angle is 74°. What is its corresponding angle (in degrees)?
  20. 20.What is the supplement of 29° (in degrees)?
  21. 21.Two straight lines cross each other. One of the angles formed is 141°. What is the angle vertically opposite to it (in degrees)?
  22. 22.Two angles are supplementary. One is 12° more than the other. What is the bigger angle (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 21°. What is the angle next to it on the same line (in degrees)?
  24. 24.Two angles are supplementary. One is 132° more than the other. What is the bigger angle (in degrees)?
  25. 25.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?
  26. 26.Are 31° and 149° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 70°. What is its other interior angle on the same side of the transversal (in degrees)?
  28. 28.What is the complement of 39° (in degrees)?
  29. 29.What is the complement of 40° (in degrees)?
  30. 30.Are 34° and 146° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  31. 31.Two parallel lines are cut by a transversal. One interior angle is 129°. What is its other interior angle on the same side of the transversal (in degrees)?
  32. 32.Two angles are supplementary. One is 122° more than the other. What is the bigger angle (in degrees)?
  33. 33.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
  34. 34.What is the complement of 37° (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 86°. What is the angle next to it on the same line (in degrees)?
  36. 36.What is the complement of 55° (in degrees)?
  37. 37.Are 65° and 25° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  38. 38.Two angles are supplementary. One is 82° more than the other. What is the bigger angle (in degrees)?
  39. 39.Are 43° and 137° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  40. 40.What is the supplement of 12° (in degrees)?

Answer key

  1. 82
  2. 80
  3. Supplementary
  4. 151
  5. 53
  6. 63
  7. 38
  8. 128
  9. 62
  10. 65
  11. 17
  12. 150
  13. 15
  14. Complementary
  15. 43
  16. 72
  17. 16
  18. 87
  19. 74
  20. 151
  21. 141
  22. 96
  23. 159
  24. 156
  25. 67
  26. Supplementary
  27. 110
  28. 51
  29. 50
  30. Supplementary
  31. 51
  32. 151
  33. 54
  34. 53
  35. 94
  36. 35
  37. Complementary
  38. 131
  39. Supplementary
  40. 168

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