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CBSE Maths · Class 7

Chapter 5: Lines and Angles

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Complementary, supplementary, adjacent, linear pair, vertically opposite angles; parallel lines and transversal.

Questions

  1. Supplement of 115115^\circ.
  2. If two co-interior angles on parallel lines are (2x)(2x)^\circ and (3x+20)(3x+20)^\circ, find xx.
  3. Prove: vertically opposite angles are equal (short reason).
  4. Complement of 3737^\circ.
  5. Supplement of 110110^\circ.
  6. Alt interior angle of 5555^\circ on parallel lines.
  7. Vertically opposite of 8080^\circ.
  8. Two co-interior angles on parallel lines are 110110^\circ and xx: find xx.
  9. Sum of angles in a linear pair.
  10. If two angles are supplementary and one is 2/32/3 of the other, find them.

Extra Practice (Optional)

  • Angles 4545^\circ and xx^\circ are complementary: find xx.
  • If m\ell \parallel m and one corresponding angle is 110110^\circ, others?
  • Two lines perpendicular to the same line are \ldots?

Answer Key (For Teachers)

  1. Answer: 6565^\circ.
    Working: 180115180-115.
  2. Answer: x=32x = 32.
    Working: Sum =1805x+20=180= 180 \Rightarrow 5x + 20 = 180.
  3. Answer: Hence equal.
    Working: Both linear-pair-supplementary with same angle.
  4. Answer: 5353^\circ
    Working: 903790 - 37.
  5. Answer: 7070^\circ
    Working: 180110180 - 110.
  6. Answer: 5555^\circ
    Working: Equal.
  7. Answer: 8080^\circ
    Working: Equal.
  8. Answer: 7070^\circ
    Working: Sum 180180.
  9. Answer: 180180^\circ
    Working: Straight line.
  10. Answer: 108,72108^\circ, 72^\circ
    Working: Let x,2x/3x, 2x/3; 5x/3=1805x/3 = 180.
Gyaan Maths · CBSE Class 7 · Chapter 5
Gyaan Maths — CBSE Class 6-10, built for board-toppers.
v1.1 · Feb 2026