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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 92 · 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 44°. What is its alternate interior angle (in degrees)?
  2. 2.Two straight lines cross each other. One of the angles formed is 46°. What is the angle vertically opposite to it (in degrees)?
  3. 3.Two parallel lines are cut by a transversal. One interior angle is 97°. What is its other interior angle on the same side of the transversal (in degrees)?
  4. 4.What is the supplement of 99° (in degrees)?
  5. 5.What is the complement of 65° (in degrees)?
  6. 6.What is the supplement of 38° (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 87°. What is its alternate interior angle (in degrees)?
  8. 8.Two straight lines cross each other. One of the angles formed is 159°. What is the angle vertically opposite to it (in degrees)?
  9. 9.Are 17° and 163° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  10. 10.Are 70° and 110° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  11. 11.Two parallel lines are cut by a transversal. One interior angle is 31°. What is its alternate interior angle (in degrees)?
  12. 12.Are 66° and 114° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  13. 13.What is the supplement of 25° (in degrees)?
  14. 14.Are 70° and 20° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  15. 15.What is the complement of 61° (in degrees)?
  16. 16.What is the supplement of 23° (in degrees)?
  17. 17.Are 64° and 26° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  18. 18.What is the complement of 14° (in degrees)?
  19. 19.What is the supplement of 49° (in degrees)?
  20. 20.Two angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  21. 21.Are 29° and 61° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  22. 22.What is the supplement of 24° (in degrees)?
  23. 23.Are 59° and 31° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  24. 24.Two parallel lines are cut by a transversal. One interior angle is 35°. What is its other interior angle on the same side of the transversal (in degrees)?
  25. 25.What is the supplement of 111° (in degrees)?
  26. 26.Are 20° and 158° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  27. 27.Two parallel lines are cut by a transversal. One interior angle is 127°. What is its other interior angle on the same side of the transversal (in degrees)?
  28. 28.What is the supplement of 58° (in degrees)?
  29. 29.What is the supplement of 166° (in degrees)?
  30. 30.Are 20° and 70° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  31. 31.What is the complement of 40° (in degrees)?
  32. 32.Two angles are supplementary. One is 56° more than the other. What is the bigger angle (in degrees)?
  33. 33.What is the complement of 30° (in degrees)?
  34. 34.What is the complement of 74° (in degrees)?
  35. 35.Two parallel lines are cut by a transversal. One interior angle is 58°. What is its other interior angle on the same side of the transversal (in degrees)?
  36. 36.What is the supplement of 128° (in degrees)?
  37. 37.Are 76° and 14° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  38. 38.Are 77° and 103° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  39. 39.Two angles are complementary. One is 38° more than the other. What is the bigger angle (in degrees)?
  40. 40.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 44
  2. 46
  3. 83
  4. 81
  5. 25
  6. 142
  7. 87
  8. 159
  9. Supplementary
  10. Supplementary
  11. 31
  12. Supplementary
  13. 155
  14. Complementary
  15. 29
  16. 157
  17. Complementary
  18. 76
  19. 131
  20. 58
  21. Complementary
  22. 156
  23. Complementary
  24. 145
  25. 69
  26. Neither
  27. 53
  28. 122
  29. 14
  30. Complementary
  31. 50
  32. 118
  33. 60
  34. 16
  35. 122
  36. 52
  37. Complementary
  38. Supplementary
  39. 64
  40. 54

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