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 parallel lines are cut by a transversal. One interior angle is 145°. What is its other interior angle on the same side of the transversal (in degrees)?
- 2.Two parallel lines are cut by a transversal. One angle is 104°. What is its corresponding angle (in degrees)?
- 3.Two straight lines cross each other. One of the angles formed is 20°. What is the angle next to it on the same line (in degrees)?
- 4.What is the supplement of 148° (in degrees)?
- 5.Two angles are supplementary. One is 54° more than the other. What is the bigger angle (in degrees)?
- 6.What is the supplement of 173° (in degrees)?
- 7.Two parallel lines are cut by a transversal. One interior angle is 54°. What is its other interior angle on the same side of the transversal (in degrees)?
- 8.What is the supplement of 126° (in degrees)?
- 9.What is the complement of 11° (in degrees)?
- 10.Two parallel lines are cut by a transversal. One interior angle is 59°. What is its other interior angle on the same side of the transversal (in degrees)?
- 11.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
- 12.Are 71° and 19° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
- 13.Two angles are complementary. One is 66° more than the other. What is the bigger angle (in degrees)?
- 14.Two angles are supplementary. One is 84° more than the other. What is the bigger angle (in degrees)?
- 15.Are 60° and 84° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
- 16.Two parallel lines are cut by a transversal. One interior angle is 32°. What is its other interior angle on the same side of the transversal (in degrees)?
- 17.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
- 18.Two angles are supplementary. One is 20° more than the other. What is the bigger angle (in degrees)?
- 19.What is the supplement of 20° (in degrees)?
- 20.Are 22° and 158° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
- 21.Two straight lines cross each other. One of the angles formed is 73°. What is the angle vertically opposite to it (in degrees)?
- 22.Two parallel lines are cut by a transversal. One interior angle is 56°. What is its alternate interior angle (in degrees)?
- 23.Two parallel lines are cut by a transversal. One interior angle is 109°. What is its alternate interior angle (in degrees)?
- 24.Are 28° and 54° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
- 25.Two straight lines cross each other. One of the angles formed is 85°. What is the angle next to it on the same line (in degrees)?
- 26.What is the complement of 76° (in degrees)?
- 27.Are 57° and 33° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
- 28.Two straight lines cross each other. One of the angles formed is 52°. What is the angle vertically opposite to it (in degrees)?
- 29.Two straight lines cross each other. One of the angles formed is 29°. What is the angle next to it on the same line (in degrees)?
- 30.What is the supplement of 103° (in degrees)?
- 31.Two parallel lines are cut by a transversal. One angle is 68°. What is its corresponding angle (in degrees)?
- 32.Two parallel lines are cut by a transversal. One angle is 128°. What is its corresponding angle (in degrees)?
- 33.Two parallel lines are cut by a transversal. One angle is 124°. What is its corresponding angle (in degrees)?
- 34.Are 33° and 107° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
- 35.Two angles are supplementary. One is 36° more than the other. What is the bigger angle (in degrees)?
- 36.What is the complement of 21° (in degrees)?
- 37.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
- 38.Two parallel lines are cut by a transversal. One interior angle is 76°. What is its alternate interior angle (in degrees)?
- 39.Two straight lines cross each other. One of the angles formed is 85°. What is the angle vertically opposite to it (in degrees)?
- 40.Are 79° and 11° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
Answer key
- 35
- 104
- 160
- 32
- 117
- 7
- 126
- 54
- 79
- 121
- 79
- Complementary
- 78
- 132
- Neither
- 148
- 77
- 100
- 160
- Supplementary
- 73
- 56
- 109
- Neither
- 95
- 14
- Complementary
- 52
- 151
- 77
- 68
- 128
- 124
- Neither
- 108
- 69
- 74
- 76
- 85
- Complementary
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