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 22° more than the other. What is the bigger angle (in degrees)?
- 2.What is the supplement of 119° (in degrees)?
- 3.What is the complement of 9° (in degrees)?
- 4.Two angles are supplementary. One is 118° more than the other. What is the bigger angle (in degrees)?
- 5.What is the supplement of 15° (in degrees)?
- 6.Are 77° and 103° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
- 7.Two straight lines cross each other. One of the angles formed is 85°. What is the angle vertically opposite to it (in degrees)?
- 8.Two straight lines cross each other. One of the angles formed is 78°. What is the angle vertically opposite to it (in degrees)?
- 9.Two parallel lines are cut by a transversal. One interior angle is 35°. What is its other interior angle on the same side of the transversal (in degrees)?
- 10.What is the supplement of 30° (in degrees)?
- 11.What is the supplement of 166° (in degrees)?
- 12.Two straight lines cross each other. One of the angles formed is 157°. What is the angle next to it on the same line (in degrees)?
- 13.Two straight lines cross each other. One of the angles formed is 136°. What is the angle next to it on the same line (in degrees)?
- 14.What is the supplement of 83° (in degrees)?
- 15.Two angles are supplementary. One is 66° more than the other. What is the bigger angle (in degrees)?
- 16.Two angles are complementary. One is 60° more than the other. What is the bigger angle (in degrees)?
- 17.Are 36° and 92° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
- 18.Two parallel lines are cut by a transversal. One angle is 135°. What is its corresponding angle (in degrees)?
- 19.Two angles are complementary. One is 6° more than the other. What is the bigger angle (in degrees)?
- 20.Two parallel lines are cut by a transversal. One interior angle is 114°. What is its alternate interior angle (in degrees)?
- 21.What is the supplement of 156° (in degrees)?
- 22.Two straight lines cross each other. One of the angles formed is 37°. What is the angle next to it on the same line (in degrees)?
- 23.What is the complement of 24° (in degrees)?
- 24.Two straight lines cross each other. One of the angles formed is 105°. What is the angle next to it on the same line (in degrees)?
- 25.What is the supplement of 6° (in degrees)?
- 26.Two parallel lines are cut by a transversal. One interior angle is 137°. What is its other interior angle on the same side of the transversal (in degrees)?
- 27.Two angles are complementary. One is 16° more than the other. What is the bigger angle (in degrees)?
- 28.What is the complement of 14° (in degrees)?
- 29.What is the complement of 77° (in degrees)?
- 30.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)?
- 31.What is the supplement of 64° (in degrees)?
- 32.What is the supplement of 44° (in degrees)?
- 33.What is the complement of 37° (in degrees)?
- 34.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)?
- 35.What is the complement of 27° (in degrees)?
- 36.What is the supplement of 124° (in degrees)?
- 37.Two straight lines cross each other. One of the angles formed is 51°. What is the angle vertically opposite to it (in degrees)?
- 38.What is the complement of 12° (in degrees)?
- 39.Two angles are supplementary. One is 82° more than the other. What is the bigger angle (in degrees)?
- 40.Two parallel lines are cut by a transversal. One interior angle is 73°. What is its alternate interior angle (in degrees)?
Answer key
- 56
- 61
- 81
- 149
- 165
- Supplementary
- 85
- 78
- 145
- 150
- 14
- 23
- 44
- 97
- 123
- 75
- Neither
- 135
- 48
- 114
- 24
- 143
- 66
- 75
- 174
- 43
- 53
- 76
- 13
- 70
- 116
- 136
- 53
- 123
- 63
- 56
- 51
- 78
- 131
- 73
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