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In the following figure, a transversal c intersects two parallel lines a and b at A and B respectively and the angles formed at A and B are marked. Tell which of the following pairs of angles need not be equal?
  • a)
    ∠1, ∠2
  • b)
    ∠1, ∠3
  • c)
    ∠1, ∠5
  • d)
    ∠2, ∠8
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
In the following figure, a transversal c intersects two parallel lines...
We have two parallel lines aaa and bbb, cut by a transversal ccc. Angles are formed at AAA (with line aaa) and at BBB (with line bbb).
Step 1: Rules to recall
  • Corresponding angles are equal
  • Alternate interior angles are equal
  • Vertically opposite angles are equal
  • Linear pair of angles are supplementary, not equal
Step 2: Check each option
a) ∠1 and ∠2
These are adjacent angles at A and form a linear pair. They are supplementary, not equal. Hence, they need not be equal.
b) ∠1 and ∠3
These are vertically opposite angles at A. They are always equal.
c) ∠1 and ∠5
These are corresponding angles (∠1 at A, ∠5 at B). For parallel lines, they are equal.
d) ∠2 and ∠8
These are alternate interior angles. For parallel lines, they are equal.
Final Answer: a) ∠1 and ∠2
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In the following figure, a transversal c intersects two parallel lines a and b at A and B respectively and the angles formed at A and B are marked. Tell which of the following pairs of angles need not be equal?a)∠1, ∠2b)∠1, ∠3c)∠1, ∠5d)∠2, ∠8Correct answer is option 'A'. 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 c intersects two parallel lines a and b at A and B respectively and the angles formed at A and B are marked. Tell which of the following pairs of angles need not be equal?a)∠1, ∠2b)∠1, ∠3c)∠1, ∠5d)∠2, ∠8Correct answer is option 'A'. 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 c intersects two parallel lines a and b at A and B respectively and the angles formed at A and B are marked. Tell which of the following pairs of angles need not be equal?a)∠1, ∠2b)∠1, ∠3c)∠1, ∠5d)∠2, ∠8Correct answer is option 'A'. Can you explain this answer?.
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