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CBSE Maths · Class 9

Chapter 6: Lines and Angles

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Date: ______________
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Complementary and supplementary angles, vertically opposite angles, properties of parallel lines cut by a transversal, angle sum of a triangle.

Questions

  1. Two supplementary angles differ by 3434^\circ.
  2. Angles (x+10),(2x30),(3x+20)(x+10)^\circ, (2x-30)^\circ, (3x+20)^\circ of triangle.
  3. Alt interior of 6565^\circ on parallel lines.
  4. Alternate interior angles definition.
  5. (3x+5)(3x+5)^\circ and (2x25)(2x-25)^\circ are vertically opposite. Find xx.
  6. Co-interior angles on parallel lines are ___.
  7. Angles of a triangle in ratio 2:3:42:3:4.
  8. Complement of 4747^\circ.
  9. Exterior angle =110= 110^\circ; one remote interior =50= 50^\circ. Find the other.
  10. Two parallel lines cut by a transversal: sum of alt. interior angles?

Extra Practice (Optional)

  • Angles of triangle in ratio 3:4:53:4:5.
  • Two supplementary angles: one is double the other.
  • Angle complementary to 3232^\circ.
  • If two lines are parallel and cut by transversal, prove alt. interior angles equal.
  • Sum of interior angles of hexagon.

Answer Key (For Teachers)

  1. Answer: 107,73107^\circ, 73^\circ.
    Working: 2x180=342x - 180 = 34.
  2. Answer: x=30x = 30^\circ.
    Working: Sum =180= 180.
  3. Answer: 6565^\circ.
    Working: Equal.
  4. Answer: As defined.
    Working: Angles between the two lines, on opposite sides of transversal.
  5. Answer: x=30x = -30.
    Working: Vertically opposite \Rightarrow equal: 3x+5=2x253x+5 = 2x-25; x=30x = -30.
  6. Answer: Supplementary.
    Working: Sum to 180180^\circ.
  7. Answer: 40,60,8040^\circ, 60^\circ, 80^\circ.
    Working: 9x=1809x = 180.
  8. Answer: 4343^\circ.
    Working: 904790 - 47.
  9. Answer: 6060^\circ.
    Working: Sum of remote interiors == exterior.
  10. Answer: 2θ2\theta.
    Working: Each pair equal; sum is 2θ2\theta (both equal θ\theta).
Gyaan Maths · CBSE Class 9 · Chapter 6
Gyaan Maths — CBSE Class 6-10, built for board-toppers.
v1.1 · Feb 2026