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If a straight line falling in two straight line make the interior angles on the same side of it taken together, then
two straight lines if produced indefinitely, meet on that side on which the sum of angles are ................. 2 right
angles.
two straight lines if produced indefinitely, meet on that side on which the sum of angles are ................. 2 right
angles.
- a)Less than
- b)Greater than
- c)Equal to
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
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If a straight line falling in two straight line make the interior angl...
If a straight line falling on two straight lines makes the interior angles on the same side of it, taken together less than two right angles, then the the two straight lines if produced indefinitely, meet on that side on which the sum of angles is taken together less than two right angles.
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Most Upvoted Answer
If a straight line falling in two straight line make the interior angl...
Explanation:
To understand why the correct answer is option 'A', let's consider the given statement.
Statement: If a straight line falling in two straight lines makes the interior angles on the same side of it taken together, then two straight lines if produced indefinitely, meet on that side on which the sum of angles are less than 2 right angles.
Key Points:
- Interior angles: The angles formed on the inside of the two straight lines when they intersect.
- Exterior angles: The angles formed on the outside of the two straight lines when they intersect.
- Straight lines produced indefinitely: Extending the straight lines infinitely in both directions.
Understanding the concept:
When a straight line intersects two other straight lines, it forms pairs of interior angles and pairs of exterior angles. The sum of the interior angles on the same side of the transversal is always equal to two right angles (180 degrees). This is known as the Interior Angle Sum Property.
Interior Angle Sum Property:
The sum of the interior angles on the same side of the transversal is always equal to two right angles (180 degrees).
Explanation:
Let's assume we have two straight lines, Line 1 and Line 2, intersected by a transversal line.
1. When the sum of the interior angles on the same side of the transversal is less than 180 degrees, it means that the exterior angles on the same side of the transversal are greater than 180 degrees.
2. If we extend Line 1 and Line 2 indefinitely, the exterior angles will keep getting larger as they are formed on the same side of the transversal.
3. Since the exterior angles are greater than 180 degrees on the same side of the transversal, these extended lines will eventually intersect on that side.
4. This intersection point is on the side where the sum of the angles is less than 180 degrees, and it will be on the same side of the transversal as the exterior angles.
Therefore, when the sum of the interior angles on the same side of the transversal is less than 180 degrees, the extended lines will meet on that side. Hence, the correct answer is option 'A' - Less than.
To understand why the correct answer is option 'A', let's consider the given statement.
Statement: If a straight line falling in two straight lines makes the interior angles on the same side of it taken together, then two straight lines if produced indefinitely, meet on that side on which the sum of angles are less than 2 right angles.
Key Points:
- Interior angles: The angles formed on the inside of the two straight lines when they intersect.
- Exterior angles: The angles formed on the outside of the two straight lines when they intersect.
- Straight lines produced indefinitely: Extending the straight lines infinitely in both directions.
Understanding the concept:
When a straight line intersects two other straight lines, it forms pairs of interior angles and pairs of exterior angles. The sum of the interior angles on the same side of the transversal is always equal to two right angles (180 degrees). This is known as the Interior Angle Sum Property.
Interior Angle Sum Property:
The sum of the interior angles on the same side of the transversal is always equal to two right angles (180 degrees).
Explanation:
Let's assume we have two straight lines, Line 1 and Line 2, intersected by a transversal line.
1. When the sum of the interior angles on the same side of the transversal is less than 180 degrees, it means that the exterior angles on the same side of the transversal are greater than 180 degrees.
2. If we extend Line 1 and Line 2 indefinitely, the exterior angles will keep getting larger as they are formed on the same side of the transversal.
3. Since the exterior angles are greater than 180 degrees on the same side of the transversal, these extended lines will eventually intersect on that side.
4. This intersection point is on the side where the sum of the angles is less than 180 degrees, and it will be on the same side of the transversal as the exterior angles.
Therefore, when the sum of the interior angles on the same side of the transversal is less than 180 degrees, the extended lines will meet on that side. Hence, the correct answer is option 'A' - Less than.
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If a straight line falling in two straight line make the interior angles on the same side of it taken together, thentwo straight lines if produced indefinitely, meet on that side on which the sum of angles are ................. 2 rightangles.a)Less thanb)Greater thanc)Equal tod)None of theseCorrect answer is option 'A'. Can you explain this answer?
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If a straight line falling in two straight line make the interior angles on the same side of it taken together, thentwo straight lines if produced indefinitely, meet on that side on which the sum of angles are ................. 2 rightangles.a)Less thanb)Greater thanc)Equal tod)None of theseCorrect answer is option 'A'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about If a straight line falling in two straight line make the interior angles on the same side of it taken together, thentwo straight lines if produced indefinitely, meet on that side on which the sum of angles are ................. 2 rightangles.a)Less thanb)Greater thanc)Equal tod)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a straight line falling in two straight line make the interior angles on the same side of it taken together, thentwo straight lines if produced indefinitely, meet on that side on which the sum of angles are ................. 2 rightangles.a)Less thanb)Greater thanc)Equal tod)None of theseCorrect answer is option 'A'. Can you explain this answer?.
If a straight line falling in two straight line make the interior angles on the same side of it taken together, thentwo straight lines if produced indefinitely, meet on that side on which the sum of angles are ................. 2 rightangles.a)Less thanb)Greater thanc)Equal tod)None of theseCorrect answer is option 'A'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about If a straight line falling in two straight line make the interior angles on the same side of it taken together, thentwo straight lines if produced indefinitely, meet on that side on which the sum of angles are ................. 2 rightangles.a)Less thanb)Greater thanc)Equal tod)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a straight line falling in two straight line make the interior angles on the same side of it taken together, thentwo straight lines if produced indefinitely, meet on that side on which the sum of angles are ................. 2 rightangles.a)Less thanb)Greater thanc)Equal tod)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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