Download a free Class 7 Maths worksheet on Lines and Angles with MCQs, fill in the blanks and short answer questions. Complete answer key included. Personalized to your class, subject and chapter.
Q1. Two angles are called complementary angles when their sum is equal to:
a) 180 degrees
b) 90 degrees
c) 360 degrees
d) 120 degrees
Q2. An angle which measures more than 90 degrees but less than 180 degrees is called:
a) Acute angle
b) Right angle
c) Obtuse angle
d) Reflex angle
Q3. If two lines intersect each other, then the vertically opposite angles are:
a) Supplementary
b) Complementary
c) Equal
d) Unequal
Q4. A transversal intersects two parallel lines. The pair of alternate interior angles are:
a) Supplementary
b) Equal
c) Complementary
d) Different
Q5. The supplement of an angle measuring 65 degrees is:
a) 25 degrees
b) 115 degrees
c) 125 degrees
d) 35 degrees
Q6. Two angles forming a linear pair always add up to ________.
Q7. If two lines never meet and are always the same distance apart, they are called ________.
Q8. The angle which is equal to its own complement measures ________.
Q9. Co-interior angles formed when a transversal cuts two parallel lines are also known as ________ angles.
Q10. An angle that measures exactly 180 degrees is called a ________.
Q11. Define a linear pair of angles and give one example from daily life.
Q12. The angles of a triangle are in the ratio 2:3:4. Find all three angles.
Q13. Two complementary angles differ by 18 degrees. Find the two angles.
Q14. A transversal cuts two parallel lines. One of the co-interior angles is 65 degrees. Find the other co-interior angle.
Q15. Find the value of x if two vertically opposite angles are given as (3x + 15) degrees and (5x minus 25) degrees.
Section A: Multiple Choice Questions
Q1. Answer: b) 90 degrees
Q2. Answer: c) Obtuse angle
Q3. Answer: c) Equal
Q4. Answer: b) Equal
Q5. Answer: b) 115 degrees
Explanation: 180 minus 65 equals 115 degrees
Section B: Fill in the Blanks
Q6. 180 degrees
Q7. Parallel lines
Q8. 45 degrees
Q9. Co-interior or Consecutive interior or Same-side interior
Q10. Straight angle
Section C: Short Answer Questions
Q11. When two adjacent angles add up to 180 degrees, they form a linear pair. The two angles are always supplementary and share a common arm with their non-common arms forming a straight line. Example: The angles formed when a door is opened against a wall.
Q12. Let the angles be 2x, 3x and 4x.
Sum of angles of a triangle equals 180 degrees.
2x plus 3x plus 4x equals 180
9x equals 180
x equals 20
The three angles are 40 degrees, 60 degrees and 80 degrees.
Q13. Let the two complementary angles be x and (x minus 18).
x plus (x minus 18) equals 90
2x minus 18 equals 90
2x equals 108
x equals 54
The two angles are 54 degrees and 36 degrees.
Q14. Co-interior angles are supplementary when a transversal cuts two parallel lines.
So the other angle equals 180 minus 65 equals 115 degrees.
Q15. Vertically opposite angles are equal.
3x plus 15 equals 5x minus 25
15 plus 25 equals 5x minus 3x
40 equals 2x
x equals 20
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