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 60° more than the other. What is the bigger angle (in degrees)?
- 2.What is the complement of 66° (in degrees)?
- 3.What is the complement of 68° (in degrees)?
- 4.Two angles are supplementary. One is 96° more than the other. What is the bigger angle (in degrees)?
- 5.Two angles are supplementary. One is 8° more than the other. What is the bigger angle (in degrees)?
- 6.Two angles are supplementary. One is 46° more than the other. What is the bigger angle (in degrees)?
- 7.What is the supplement of 11° (in degrees)?
- 8.What is the complement of 37° (in degrees)?
- 9.Two straight lines cross each other. One of the angles formed is 55°. What is the angle next to it on the same line (in degrees)?
- 10.Two parallel lines are cut by a transversal. One interior angle is 117°. What is its other interior angle on the same side of the transversal (in degrees)?
- 11.Are 76° and 104° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
- 12.Are 33° and 57° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
- 13.Are 21° and 119° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
- 14.Two straight lines cross each other. One of the angles formed is 144°. What is the angle vertically opposite to it (in degrees)?
- 15.Two straight lines cross each other. One of the angles formed is 93°. What is the angle next to it on the same line (in degrees)?
- 16.Two parallel lines are cut by a transversal. One interior angle is 83°. What is its other interior angle on the same side of the transversal (in degrees)?
- 17.What is the supplement of 116° (in degrees)?
- 18.What is the complement of 67° (in degrees)?
- 19.What is the complement of 83° (in degrees)?
- 20.Two angles are complementary. One is 58° more than the other. What is the bigger angle (in degrees)?
- 21.What is the supplement of 33° (in degrees)?
- 22.Two parallel lines are cut by a transversal. One angle is 148°. What is its corresponding angle (in degrees)?
- 23.Two straight lines cross each other. One of the angles formed is 128°. What is the angle next to it on the same line (in degrees)?
- 24.What is the supplement of 134° (in degrees)?
- 25.What is the complement of 21° (in degrees)?
- 26.What is the supplement of 32° (in degrees)?
- 27.What is the complement of 71° (in degrees)?
- 28.Two straight lines cross each other. One of the angles formed is 67°. What is the angle vertically opposite to it (in degrees)?
- 29.Two parallel lines are cut by a transversal. One interior angle is 42°. What is its alternate interior angle (in degrees)?
- 30.What is the supplement of 67° (in degrees)?
- 31.What is the supplement of 18° (in degrees)?
- 32.Two straight lines cross each other. One of the angles formed is 82°. What is the angle vertically opposite to it (in degrees)?
- 33.Two angles are supplementary. One is 98° more than the other. What is the bigger angle (in degrees)?
- 34.What is the complement of 16° (in degrees)?
- 35.Two parallel lines are cut by a transversal. One interior angle is 84°. What is its other interior angle on the same side of the transversal (in degrees)?
- 36.Two straight lines cross each other. One of the angles formed is 122°. What is the angle vertically opposite to it (in degrees)?
- 37.Two angles are complementary. One is 18° more than the other. What is the bigger angle (in degrees)?
- 38.Are 40° and 50° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
- 39.What is the complement of 32° (in degrees)?
- 40.Are 14° and 11° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
Answer key
- 75
- 24
- 22
- 138
- 94
- 113
- 169
- 53
- 125
- 63
- Supplementary
- Complementary
- Neither
- 144
- 87
- 97
- 64
- 23
- 7
- 74
- 147
- 148
- 52
- 46
- 69
- 148
- 19
- 67
- 42
- 113
- 162
- 82
- 139
- 74
- 96
- 122
- 54
- Complementary
- 58
- Neither
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