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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 659 · 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 76°. 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 34°. What is the angle next to it on the same line (in degrees)?
  3. 3.Two angles are complementary. One is 26° more than the other. What is the bigger angle (in degrees)?
  4. 4.Two parallel lines are cut by a transversal. One interior angle is 95°. What is its other interior angle on the same side of the transversal (in degrees)?
  5. 5.What is the supplement of 69° (in degrees)?
  6. 6.Two parallel lines are cut by a transversal. One interior angle is 94°. What is its alternate interior angle (in degrees)?
  7. 7.Are 37° and 53° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  8. 8.Are 40° and 71° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  9. 9.What is the supplement of 28° (in degrees)?
  10. 10.What is the supplement of 25° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 127°. What is the angle next to it on the same line (in degrees)?
  12. 12.Are 13° and 77° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  13. 13.What is the complement of 22° (in degrees)?
  14. 14.What is the complement of 19° (in degrees)?
  15. 15.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
  16. 16.Two parallel lines are cut by a transversal. One interior angle is 64°. What is its alternate interior angle (in degrees)?
  17. 17.Two straight lines cross each other. One of the angles formed is 109°. What is the angle next to it on the same line (in degrees)?
  18. 18.What is the supplement of 63° (in degrees)?
  19. 19.Two parallel lines are cut by a transversal. One angle is 62°. What is its corresponding angle (in degrees)?
  20. 20.Are 45° and 45° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  21. 21.Are 65° and 107° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  22. 22.What is the supplement of 166° (in degrees)?
  23. 23.Two straight lines cross each other. One of the angles formed is 87°. What is the angle next to it on the same line (in degrees)?
  24. 24.What is the complement of 11° (in degrees)?
  25. 25.What is the supplement of 11° (in degrees)?
  26. 26.What is the complement of 5° (in degrees)?
  27. 27.Are 35° and 55° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  28. 28.Two straight lines cross each other. One of the angles formed is 112°. What is the angle vertically opposite to it (in degrees)?
  29. 29.Two parallel lines are cut by a transversal. One angle is 59°. What is its corresponding angle (in degrees)?
  30. 30.What is the supplement of 59° (in degrees)?
  31. 31.Are 11° and 169° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  32. 32.Two parallel lines are cut by a transversal. One angle is 143°. What is its corresponding angle (in degrees)?
  33. 33.What is the supplement of 23° (in degrees)?
  34. 34.Two straight lines cross each other. One of the angles formed is 33°. What is the angle vertically opposite to it (in degrees)?
  35. 35.Two straight lines cross each other. One of the angles formed is 73°. What is the angle next to it on the same line (in degrees)?
  36. 36.Are 65° and 25° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  37. 37.What is the complement of 66° (in degrees)?
  38. 38.Are 39° and 51° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  39. 39.What is the complement of 13° (in degrees)?
  40. 40.Two angles are complementary. One is 44° more than the other. What is the bigger angle (in degrees)?

Answer key

  1. 104
  2. 146
  3. 58
  4. 85
  5. 111
  6. 94
  7. Complementary
  8. Neither
  9. 152
  10. 155
  11. 53
  12. Complementary
  13. 68
  14. 71
  15. 77
  16. 64
  17. 71
  18. 117
  19. 62
  20. Complementary
  21. Neither
  22. 14
  23. 93
  24. 79
  25. 169
  26. 85
  27. Complementary
  28. 112
  29. 59
  30. 121
  31. Supplementary
  32. 143
  33. 157
  34. 33
  35. 107
  36. Complementary
  37. 24
  38. Complementary
  39. 77
  40. 67

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