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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 367 · 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 64°. What is its alternate interior angle (in degrees)?
  2. 2.Two angles are supplementary. One is 48° more than the other. What is the bigger angle (in degrees)?
  3. 3.What is the complement of 51° (in degrees)?
  4. 4.What is the complement of 66° (in degrees)?
  5. 5.Two angles are supplementary. One is 40° more than the other. What is the bigger angle (in degrees)?
  6. 6.Two straight lines cross each other. One of the angles formed is 102°. What is the angle vertically opposite to it (in degrees)?
  7. 7.Two straight lines cross each other. One of the angles formed is 96°. What is the angle next to it on the same line (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 72°. What is the angle vertically opposite to it (in degrees)?
  9. 9.Two straight lines cross each other. One of the angles formed is 81°. What is the angle next to it on the same line (in degrees)?
  10. 10.Two straight lines cross each other. One of the angles formed is 20°. What is the angle vertically opposite to it (in degrees)?
  11. 11.Are 22° and 68° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  12. 12.What is the supplement of 96° (in degrees)?
  13. 13.Are 44° and 162° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  14. 14.Two parallel lines are cut by a transversal. One angle is 51°. What is its corresponding angle (in degrees)?
  15. 15.What is the supplement of 83° (in degrees)?
  16. 16.What is the supplement of 34° (in degrees)?
  17. 17.What is the complement of 17° (in degrees)?
  18. 18.What is the complement of 56° (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 65°. What is the angle next to it on the same line (in degrees)?
  20. 20.What is the complement of 29° (in degrees)?
  21. 21.Are 21° and 69° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  22. 22.Two straight lines cross each other. One of the angles formed is 107°. What is the angle next to it on the same line (in degrees)?
  23. 23.Two parallel lines are cut by a transversal. One interior angle is 46°. What is its alternate interior angle (in degrees)?
  24. 24.Are 41° and 112° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  25. 25.Two angles are complementary. One is 2° more than the other. What is the bigger angle (in degrees)?
  26. 26.What is the supplement of 30° (in degrees)?
  27. 27.What is the supplement of 49° (in degrees)?
  28. 28.What is the complement of 16° (in degrees)?
  29. 29.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)?
  30. 30.Two angles are supplementary. One is 126° more than the other. What is the bigger angle (in degrees)?
  31. 31.What is the supplement of 150° (in degrees)?
  32. 32.What is the complement of 83° (in degrees)?
  33. 33.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)?
  34. 34.Two parallel lines are cut by a transversal. One interior angle is 40°. What is its alternate interior angle (in degrees)?
  35. 35.What is the complement of 40° (in degrees)?
  36. 36.Two straight lines cross each other. One of the angles formed is 126°. What is the angle vertically opposite to it (in degrees)?
  37. 37.What is the complement of 55° (in degrees)?
  38. 38.What is the supplement of 82° (in degrees)?
  39. 39.Two parallel lines are cut by a transversal. One interior angle is 104°. What is its other interior angle on the same side of the transversal (in degrees)?
  40. 40.What is the complement of 52° (in degrees)?

Answer key

  1. 64
  2. 114
  3. 39
  4. 24
  5. 110
  6. 102
  7. 84
  8. 72
  9. 99
  10. 20
  11. Complementary
  12. 84
  13. Neither
  14. 51
  15. 97
  16. 146
  17. 73
  18. 34
  19. 115
  20. 61
  21. Complementary
  22. 73
  23. 46
  24. Neither
  25. 46
  26. 150
  27. 131
  28. 74
  29. 94
  30. 153
  31. 30
  32. 7
  33. 144
  34. 40
  35. 50
  36. 126
  37. 35
  38. 98
  39. 76
  40. 38

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