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.Are 66° and 114° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
- 2.Two straight lines cross each other. One of the angles formed is 24°. What is the angle vertically opposite to it (in degrees)?
- 3.Two straight lines cross each other. One of the angles formed is 91°. What is the angle next to it on the same line (in degrees)?
- 4.What is the supplement of 175° (in degrees)?
- 5.Two straight lines cross each other. One of the angles formed is 44°. What is the angle next to it on the same line (in degrees)?
- 6.What is the complement of 31° (in degrees)?
- 7.What is the complement of 69° (in degrees)?
- 8.What is the complement of 21° (in degrees)?
- 9.Are 46° and 117° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
- 10.Two angles are supplementary. One is 36° more than the other. What is the bigger angle (in degrees)?
- 11.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)?
- 12.Two angles are complementary. One is 10° more than the other. What is the bigger angle (in degrees)?
- 13.What is the complement of 11° (in degrees)?
- 14.Two parallel lines are cut by a transversal. One interior angle is 110°. What is its other interior angle on the same side of the transversal (in degrees)?
- 15.What is the supplement of 122° (in degrees)?
- 16.What is the supplement of 75° (in degrees)?
- 17.What is the supplement of 82° (in degrees)?
- 18.Two parallel lines are cut by a transversal. One interior angle is 77°. What is its other interior angle on the same side of the transversal (in degrees)?
- 19.What is the complement of 68° (in degrees)?
- 20.Two angles are complementary. One is 14° more than the other. What is the bigger angle (in degrees)?
- 21.What is the supplement of 11° (in degrees)?
- 22.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
- 23.Are 80° and 9° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
- 24.Are 56° and 115° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
- 25.Two angles are supplementary. One is 20° more than the other. What is the bigger angle (in degrees)?
- 26.Two parallel lines are cut by a transversal. One interior angle is 38°. What is its alternate interior angle (in degrees)?
- 27.Two straight lines cross each other. One of the angles formed is 146°. What is the angle vertically opposite to it (in degrees)?
- 28.Two straight lines cross each other. One of the angles formed is 55°. What is the angle vertically opposite to it (in degrees)?
- 29.What is the supplement of 83° (in degrees)?
- 30.Two parallel lines are cut by a transversal. One interior angle is 115°. What is its other interior angle on the same side of the transversal (in degrees)?
- 31.What is the supplement of 162° (in degrees)?
- 32.Two parallel lines are cut by a transversal. One angle is 124°. What is its corresponding angle (in degrees)?
- 33.Two parallel lines are cut by a transversal. One angle is 83°. What is its corresponding angle (in degrees)?
- 34.What is the supplement of 61° (in degrees)?
- 35.Two straight lines cross each other. One of the angles formed is 25°. What is the angle vertically opposite to it (in degrees)?
- 36.Two straight lines cross each other. One of the angles formed is 26°. What is the angle next to it on the same line (in degrees)?
- 37.Are 20° and 160° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
- 38.What is the complement of 27° (in degrees)?
- 39.Two angles are supplementary. One is 138° more than the other. What is the bigger angle (in degrees)?
- 40.Are 54° and 126° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
Answer key
- Supplementary
- 24
- 89
- 5
- 136
- 59
- 21
- 69
- Neither
- 108
- 107
- 50
- 79
- 70
- 58
- 105
- 98
- 103
- 22
- 52
- 169
- 61
- Neither
- Neither
- 100
- 38
- 146
- 55
- 97
- 65
- 18
- 124
- 83
- 119
- 25
- 154
- Supplementary
- 63
- 159
- Supplementary
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