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 105°. What is its alternate interior angle (in degrees)?
- 2.What is the complement of 23° (in degrees)?
- 3.Two parallel lines are cut by a transversal. One angle is 97°. What is its corresponding angle (in degrees)?
- 4.Two parallel lines are cut by a transversal. One interior angle is 120°. What is its alternate interior angle (in degrees)?
- 5.What is the supplement of 173° (in degrees)?
- 6.Two parallel lines are cut by a transversal. One angle is 59°. What is its corresponding angle (in degrees)?
- 7.Two parallel lines are cut by a transversal. One interior angle is 121°. What is its other interior angle on the same side of the transversal (in degrees)?
- 8.Are 45° and 45° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
- 9.What is the supplement of 89° (in degrees)?
- 10.What is the complement of 16° (in degrees)?
- 11.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)?
- 12.Two parallel lines are cut by a transversal. One angle is 36°. What is its corresponding angle (in degrees)?
- 13.What is the supplement of 91° (in degrees)?
- 14.Two parallel lines are cut by a transversal. One angle is 138°. What is its corresponding angle (in degrees)?
- 15.What is the complement of 34° (in degrees)?
- 16.What is the supplement of 82° (in degrees)?
- 17.Two parallel lines are cut by a transversal. One interior angle is 122°. What is its other interior angle on the same side of the transversal (in degrees)?
- 18.What is the supplement of 85° (in degrees)?
- 19.What is the complement of 27° (in degrees)?
- 20.Two parallel lines are cut by a transversal. One angle is 80°. What is its corresponding angle (in degrees)?
- 21.Two straight lines cross each other. One of the angles formed is 90°. What is the angle vertically opposite to it (in degrees)?
- 22.Two angles are complementary. One is 40° more than the other. What is the bigger angle (in degrees)?
- 23.Two angles are supplementary. One is 126° more than the other. What is the bigger angle (in degrees)?
- 24.Two parallel lines are cut by a transversal. One interior angle is 128°. What is its alternate interior angle (in degrees)?
- 25.Two angles are complementary. One is 52° more than the other. What is the bigger angle (in degrees)?
- 26.Two angles are supplementary. One is 42° more than the other. What is the bigger angle (in degrees)?
- 27.What is the supplement of 169° (in degrees)?
- 28.What is the supplement of 9° (in degrees)?
- 29.Two straight lines cross each other. One of the angles formed is 120°. What is the angle next to it on the same line (in degrees)?
- 30.Two parallel lines are cut by a transversal. One interior angle is 104°. What is its other interior angle on the same side of the transversal (in degrees)?
- 31.What is the supplement of 122° (in degrees)?
- 32.Two parallel lines are cut by a transversal. One interior angle is 147°. What is its other interior angle on the same side of the transversal (in degrees)?
- 33.Two parallel lines are cut by a transversal. One interior angle is 87°. What is its other interior angle on the same side of the transversal (in degrees)?
- 34.Two parallel lines are cut by a transversal. One angle is 147°. What is its corresponding angle (in degrees)?
- 35.What is the complement of 37° (in degrees)?
- 36.Are 19° and 71° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
- 37.Two straight lines cross each other. One of the angles formed is 62°. What is the angle vertically opposite to it (in degrees)?
- 38.What is the complement of 5° (in degrees)?
- 39.What is the complement of 84° (in degrees)?
- 40.Two straight lines cross each other. One of the angles formed is 23°. What is the angle vertically opposite to it (in degrees)?
Answer key
- 105
- 67
- 97
- 120
- 7
- 59
- 59
- Complementary
- 91
- 74
- 139
- 36
- 89
- 138
- 56
- 98
- 58
- 95
- 63
- 80
- 90
- 65
- 153
- 128
- 71
- 111
- 11
- 171
- 60
- 76
- 58
- 33
- 93
- 147
- 53
- Complementary
- 62
- 85
- 6
- 23
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