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 44° more than the other. What is the bigger angle (in degrees)?
- 2.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
- 3.Two straight lines cross each other. One of the angles formed is 41°. What is the angle next to it on the same line (in degrees)?
- 4.Two parallel lines are cut by a transversal. One interior angle is 118°. What is its alternate interior angle (in degrees)?
- 5.Are 77° and 72° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
- 6.Two parallel lines are cut by a transversal. One angle is 110°. What is its corresponding angle (in degrees)?
- 7.Two straight lines cross each other. One of the angles formed is 39°. What is the angle vertically opposite to it (in degrees)?
- 8.What is the supplement of 26° (in degrees)?
- 9.What is the supplement of 50° (in degrees)?
- 10.Two parallel lines are cut by a transversal. One interior angle is 130°. What is its other interior angle on the same side of the transversal (in degrees)?
- 11.What is the supplement of 160° (in degrees)?
- 12.What is the supplement of 174° (in degrees)?
- 13.What is the supplement of 77° (in degrees)?
- 14.Two straight lines cross each other. One of the angles formed is 150°. What is the angle next to it on the same line (in degrees)?
- 15.Two parallel lines are cut by a transversal. One interior angle is 111°. What is its alternate interior angle (in degrees)?
- 16.What is the complement of 85° (in degrees)?
- 17.Two parallel lines are cut by a transversal. One interior angle is 82°. What is its alternate interior angle (in degrees)?
- 18.Two straight lines cross each other. One of the angles formed is 57°. What is the angle next to it on the same line (in degrees)?
- 19.Two straight lines cross each other. One of the angles formed is 39°. What is the angle next to it on the same line (in degrees)?
- 20.Are 79° and 101° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
- 21.What is the supplement of 88° (in degrees)?
- 22.What is the complement of 33° (in degrees)?
- 23.What is the complement of 30° (in degrees)?
- 24.Two straight lines cross each other. One of the angles formed is 49°. What is the angle vertically opposite to it (in degrees)?
- 25.Are 28° and 62° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
- 26.Two angles are supplementary. One is 60° more than the other. What is the bigger angle (in degrees)?
- 27.Are 10° and 50° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
- 28.What is the supplement of 75° (in degrees)?
- 29.Are 41° and 36° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
- 30.Two angles are complementary. One is 36° more than the other. What is the bigger angle (in degrees)?
- 31.Two parallel lines are cut by a transversal. One interior angle is 90°. What is its alternate interior angle (in degrees)?
- 32.Are 62° and 28° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
- 33.What is the supplement of 165° (in degrees)?
- 34.Two parallel lines are cut by a transversal. One angle is 141°. What is its corresponding angle (in degrees)?
- 35.What is the supplement of 34° (in degrees)?
- 36.Two parallel lines are cut by a transversal. One interior angle is 60°. What is its other interior angle on the same side of the transversal (in degrees)?
- 37.Two parallel lines are cut by a transversal. One interior angle is 67°. What is its alternate interior angle (in degrees)?
- 38.What is the supplement of 146° (in degrees)?
- 39.Two parallel lines are cut by a transversal. One angle is 86°. What is its corresponding angle (in degrees)?
- 40.What is the supplement of 70° (in degrees)?
Answer key
- 67
- 69
- 139
- 118
- Neither
- 110
- 39
- 154
- 130
- 50
- 20
- 6
- 103
- 30
- 111
- 5
- 82
- 123
- 141
- Supplementary
- 92
- 57
- 60
- 49
- Complementary
- 120
- Neither
- 105
- Neither
- 63
- 90
- Complementary
- 15
- 141
- 146
- 120
- 67
- 34
- 86
- 110
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