Class 7 Exam  >  Class 7 Questions  >  In the following figure, a transversal cuts t... Start Learning for Free
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?
Verified Answer
In the following figure, a transversal cuts two parallel lines l and m...
∠2 = ∠6, corresponding angles.
View all questions of this test
Most Upvoted Answer
In the following figure, a transversal cuts two parallel lines l and m...
Understanding Angles Formed by a Transversal
When a transversal intersects two parallel lines, several angles are formed. The relationships between these angles can help determine which statements are true or false.
Angle Relationships
1. Corresponding Angles: Angles in the same position relative to the parallel lines are equal.
2. Alternate Interior Angles: Angles on opposite sides of the transversal but inside the parallel lines are equal.
3. Consecutive Interior Angles: Angles on the same side of the transversal and inside the parallel lines are supplementary, meaning they add up to 180 degrees.
Analysis of the Given Options
- a) ∠1 + ∠2 = 180°
This statement is true because ∠1 and ∠2 are consecutive interior angles.
- b) ∠2 + ∠5 = 180°
This statement is true because ∠2 and ∠5 are also consecutive interior angles.
- c) ∠3 + ∠8 = 180°
This statement is true as ∠3 and ∠8 are alternate interior angles, which are equal.
- d) ∠2 + ∠6 = 180°
This statement is false. ∠2 and ∠6 are not supplementary; they are corresponding angles and are equal, not adding up to 180 degrees.
Conclusion
The false statement among the options is d) ∠2 + ∠6 = 180°. Understanding the relationships between angles formed by a transversal cutting through parallel lines is crucial for solving geometry problems.
Explore Courses for Class 7 exam

Top Courses for Class 7

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?
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?.
Solutions 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? in English & in Hindi are available as part of our courses for Class 7. Download more important topics, notes, lectures and mock test series for Class 7 Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of 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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an ample number of questions to practice 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? tests, examples and also practice Class 7 tests.
Explore Courses for Class 7 exam

Top Courses for Class 7

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev