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In the following figure, a transversal cuts two parallel lines l and m at points G and H respectively and the angles thus formed are marked. If ∠1 is an acute angle, then, which of the following statements is false?
  • a)
    ∠1 + ∠2 = 180°
  • b)
    ∠2 + ∠5 = 180°
  • c)
    ∠3 + ∠8 = 180°
  • d)
    ∠2 + ∠6 = 180°
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
In the following figure, a transversal cuts two parallel lines l and m...
correct answer:∠2 + ∠6 = 180°
Step-by-Step Verification
  1. Option (a): ∠1 + ∠2 = 180°
    • ∠1 and ∠2 are a linear pair at point G (on line l).
    • Linear pair sum = 180°. ✅ Correct
  2. Option (b): ∠2 + ∠5 = 180°
    • ∠2 and ∠5 are interior angles on the same side of the transversal.
    • Property: For parallel lines, co-interior angles sum = 180°. ✅ Correct
  3. Option (c): ∠3 + ∠8 = 180°
    • ∠3 (bottom left at G) and ∠8 (top left at H).
    • They are also co-interior angles.
    • So, ∠3 + ∠8 = 180°. ✅ Correct
  4. Option (d): ∠2 + ∠6 = 180°
    • ∠2 (bottom right at G) and ∠6 (bottom right at H).
    • These are corresponding angles, and for parallel lines they are equal, not supplementary.
    • So ∠2 = ∠6, not ∠2 + ∠6 = 180°. ❌ False
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Question Description
In the following figure, a transversal cuts two parallel lines l and m at points G and H respectively and the angles thus formed are marked. If ∠1 is an acute angle, then, which of the following statements is false?a)∠1 + ∠2 = 180°b)∠2 + ∠5 = 180°c)∠3 + ∠8 = 180°d)∠2 + ∠6 = 180°Correct answer is option 'D'. Can you explain this answer? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about In the following figure, a transversal cuts two parallel lines l and m at points G and H respectively and the angles thus formed are marked. If ∠1 is an acute angle, then, which of the following statements is false?a)∠1 + ∠2 = 180°b)∠2 + ∠5 = 180°c)∠3 + ∠8 = 180°d)∠2 + ∠6 = 180°Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the following figure, a transversal cuts two parallel lines l and m at points G and H respectively and the angles thus formed are marked. If ∠1 is an acute angle, then, which of the following statements is false?a)∠1 + ∠2 = 180°b)∠2 + ∠5 = 180°c)∠3 + ∠8 = 180°d)∠2 + ∠6 = 180°Correct answer is option 'D'. Can you explain this answer?.
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