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 30° more than the other. What is the bigger angle (in degrees)?
- 2.What is the supplement of 113° (in degrees)?
- 3.Two angles are complementary. One is 68° more than the other. What is the bigger angle (in degrees)?
- 4.What is the supplement of 39° (in degrees)?
- 5.What is the complement of 44° (in degrees)?
- 6.What is the supplement of 53° (in degrees)?
- 7.What is the supplement of 166° (in degrees)?
- 8.Are 27° and 153° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
- 9.What is the complement of 10° (in degrees)?
- 10.Two straight lines cross each other. One of the angles formed is 75°. What is the angle next to it on the same line (in degrees)?
- 11.What is the supplement of 116° (in degrees)?
- 12.What is the complement of 72° (in degrees)?
- 13.Two straight lines cross each other. One of the angles formed is 158°. What is the angle vertically opposite to it (in degrees)?
- 14.Two angles are supplementary. One is 82° more than the other. What is the bigger angle (in degrees)?
- 15.Two parallel lines are cut by a transversal. One interior angle is 87°. What is its alternate interior angle (in degrees)?
- 16.What is the supplement of 162° (in degrees)?
- 17.Two angles are supplementary. One is 88° more than the other. What is the bigger angle (in degrees)?
- 18.Two angles are complementary. One is 62° more than the other. What is the bigger angle (in degrees)?
- 19.What is the supplement of 15° (in degrees)?
- 20.What is the complement of 13° (in degrees)?
- 21.Two angles are complementary. One is 48° more than the other. What is the bigger angle (in degrees)?
- 22.What is the complement of 31° (in degrees)?
- 23.What is the complement of 23° (in degrees)?
- 24.Two angles are complementary. One is 32° more than the other. What is the bigger angle (in degrees)?
- 25.Are 40° and 140° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
- 26.What is the supplement of 9° (in degrees)?
- 27.What is the supplement of 56° (in degrees)?
- 28.What is the complement of 35° (in degrees)?
- 29.Two angles are supplementary. One is 6° more than the other. What is the bigger angle (in degrees)?
- 30.What is the complement of 27° (in degrees)?
- 31.Two parallel lines are cut by a transversal. One interior angle is 96°. What is its other interior angle on the same side of the transversal (in degrees)?
- 32.Two parallel lines are cut by a transversal. One angle is 51°. What is its corresponding angle (in degrees)?
- 33.Two straight lines cross each other. One of the angles formed is 135°. What is the angle vertically opposite to it (in degrees)?
- 34.What is the complement of 68° (in degrees)?
- 35.Are 17° and 73° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
- 36.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)?
- 37.What is the supplement of 51° (in degrees)?
- 38.Two angles are supplementary. One is 20° more than the other. What is the bigger angle (in degrees)?
- 39.What is the complement of 42° (in degrees)?
- 40.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)?
Answer key
- 60
- 67
- 79
- 141
- 46
- 127
- 14
- Supplementary
- 80
- 105
- 64
- 18
- 158
- 131
- 87
- 18
- 134
- 76
- 165
- 77
- 69
- 59
- 67
- 61
- Supplementary
- 171
- 124
- 55
- 93
- 63
- 84
- 51
- 135
- 22
- Complementary
- 23
- 129
- 100
- 48
- 141
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