Class 7 Maths Worksheet: Lines and Angles
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.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
- 2.Two parallel lines are cut by a transversal. One interior angle is 85°. What is its alternate interior angle (in degrees)?
- 3.What is the supplement of 15° (in degrees)?
- 4.Are 45° and 45° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
- 5.Two angles are supplementary. One is 48° more than the other. What is the bigger angle (in degrees)?
- 6.What is the supplement of 92° (in degrees)?
- 7.Two straight lines cross each other. One of the angles formed is 21°. What is the angle vertically opposite to it (in degrees)?
- 8.Two straight lines cross each other. One of the angles formed is 142°. What is the angle vertically opposite to it (in degrees)?
- 9.Are 28° and 101° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
- 10.Are 21° and 38° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
- 11.Are 18° and 72° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
- 12.What is the supplement of 127° (in degrees)?
- 13.What is the supplement of 165° (in degrees)?
- 14.What is the complement of 41° (in degrees)?
- 15.Are 14° and 76° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
- 16.What is the complement of 81° (in degrees)?
- 17.Two parallel lines are cut by a transversal. One angle is 120°. What is its corresponding angle (in degrees)?
- 18.Two angles are supplementary. One is 62° more than the other. What is the bigger angle (in degrees)?
- 19.Two angles are supplementary. One is 22° more than the other. What is the bigger angle (in degrees)?
- 20.Are 40° and 50° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
- 21.Two angles are supplementary. One is 106° more than the other. What is the bigger angle (in degrees)?
- 22.Two angles are supplementary. One is 90° more than the other. What is the bigger angle (in degrees)?
- 23.Two straight lines cross each other. One of the angles formed is 154°. What is the angle next to it on the same line (in degrees)?
- 24.What is the complement of 51° (in degrees)?
- 25.What is the complement of 83° (in degrees)?
- 26.What is the complement of 11° (in degrees)?
- 27.Two parallel lines are cut by a transversal. One interior angle is 74°. What is its other interior angle on the same side of the transversal (in degrees)?
- 28.What is the complement of 57° (in degrees)?
- 29.What is the supplement of 149° (in degrees)?
- 30.What is the complement of 17° (in degrees)?
- 31.Are 14° and 29° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
- 32.Are 77° and 13° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
- 33.Two parallel lines are cut by a transversal. One angle is 111°. What is its corresponding angle (in degrees)?
- 34.What is the complement of 35° (in degrees)?
- 35.Are 48° and 96° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
- 36.Two parallel lines are cut by a transversal. One angle is 39°. What is its corresponding angle (in degrees)?
- 37.Two angles are supplementary. One is 140° more than the other. What is the bigger angle (in degrees)?
- 38.Two parallel lines are cut by a transversal. One interior angle is 86°. What is its other interior angle on the same side of the transversal (in degrees)?
- 39.What is the supplement of 108° (in degrees)?
- 40.What is the supplement of 145° (in degrees)?
Answer key
- 61
- 85
- 165
- Complementary
- 114
- 88
- 21
- 142
- Neither
- Neither
- Complementary
- 53
- 15
- 49
- Complementary
- 9
- 120
- 121
- 101
- Complementary
- 143
- 135
- 26
- 39
- 7
- 79
- 106
- 33
- 31
- 73
- Neither
- Complementary
- 111
- 55
- Neither
- 39
- 160
- 94
- 72
- 35
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