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.What is the complement of 54° (in degrees)?
- 2.Two angles are complementary. One is 20° more than the other. What is the bigger angle (in degrees)?
- 3.What is the supplement of 53° (in degrees)?
- 4.What is the complement of 35° (in degrees)?
- 5.What is the supplement of 28° (in degrees)?
- 6.Two straight lines cross each other. One of the angles formed is 77°. What is the angle next to it on the same line (in degrees)?
- 7.Are 23° and 132° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
- 8.Are 14° and 76° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
- 9.What is the supplement of 175° (in degrees)?
- 10.Two parallel lines are cut by a transversal. One angle is 53°. What is its corresponding angle (in degrees)?
- 11.What is the supplement of 146° (in degrees)?
- 12.Two angles are complementary. One is 22° more than the other. What is the bigger angle (in degrees)?
- 13.What is the complement of 14° (in degrees)?
- 14.What is the supplement of 13° (in degrees)?
- 15.Two angles are complementary. One is 64° more than the other. What is the bigger angle (in degrees)?
- 16.What is the supplement of 80° (in degrees)?
- 17.Two parallel lines are cut by a transversal. One interior angle is 125°. What is its alternate interior angle (in degrees)?
- 18.Two straight lines cross each other. One of the angles formed is 95°. What is the angle vertically opposite to it (in degrees)?
- 19.Two parallel lines are cut by a transversal. One interior angle is 48°. What is its other interior angle on the same side of the transversal (in degrees)?
- 20.Two angles are complementary. One is 50° more than the other. What is the bigger angle (in degrees)?
- 21.Are 43° and 156° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
- 22.Are 27° and 63° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
- 23.What is the supplement of 75° (in degrees)?
- 24.What is the supplement of 131° (in degrees)?
- 25.Two parallel lines are cut by a transversal. One interior angle is 48°. What is its alternate interior angle (in degrees)?
- 26.Are 73° and 48° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
- 27.Two angles are complementary. One is 28° more than the other. What is the bigger angle (in degrees)?
- 28.Two angles are supplementary. One is 40° more than the other. What is the bigger angle (in degrees)?
- 29.Two straight lines cross each other. One of the angles formed is 134°. What is the angle vertically opposite to it (in degrees)?
- 30.Are 24° and 73° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
- 31.What is the complement of 7° (in degrees)?
- 32.What is the supplement of 174° (in degrees)?
- 33.Two straight lines cross each other. One of the angles formed is 110°. What is the angle next to it on the same line (in degrees)?
- 34.Two parallel lines are cut by a transversal. One interior angle is 35°. What is its alternate interior angle (in degrees)?
- 35.Two angles are supplementary. One is 18° more than the other. What is the bigger angle (in degrees)?
- 36.Two parallel lines are cut by a transversal. One angle is 52°. What is its corresponding angle (in degrees)?
- 37.What is the complement of 84° (in degrees)?
- 38.What is the complement of 60° (in degrees)?
- 39.Two parallel lines are cut by a transversal. One interior angle is 124°. What is its alternate interior angle (in degrees)?
- 40.Two parallel lines are cut by a transversal. One angle is 60°. What is its corresponding angle (in degrees)?
Answer key
- 36
- 55
- 127
- 55
- 152
- 103
- Neither
- Complementary
- 5
- 53
- 34
- 56
- 76
- 167
- 77
- 100
- 125
- 95
- 132
- 70
- Neither
- Complementary
- 105
- 49
- 48
- Neither
- 59
- 110
- 134
- Neither
- 83
- 6
- 70
- 35
- 99
- 52
- 6
- 30
- 124
- 60
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