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Assertion reason question statement i assertion the sum of the measures of the angle angle in a linear pair is 180 degree statement two reason when two lines intersect each other at a single point linear pairs of angles are formed?
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Assertion reason question statement i assertion the sum of the measure...
Assertion: The Sum of Angles in a Linear Pair is 180 Degrees
The assertion states that when two angles form a linear pair, their measures always add up to 180 degrees. This is a fundamental property of angles formed by intersecting lines.
Key Points:
- Linear pairs consist of two adjacent angles that share a common vertex and a side.
- When two lines intersect, they create four angles. Each pair of adjacent angles is a linear pair.
- Since they lie on a straight line, the angles in a linear pair must add up to form a straight angle, which measures 180 degrees.
Reason: Formation of Linear Pairs by Intersecting Lines
The reason explains that when two lines intersect at a single point, they create linear pairs of angles.
Key Points:
- The intersection of two lines produces four angles.
- Each angle formed at the intersection is adjacent to another angle, resulting in two linear pairs.
- For example, if angle A and angle B form a linear pair, then angle A + angle B = 180 degrees.
Conclusion:
Both the assertion and reason are correct and related. The sum of the measures of angles in a linear pair is indeed 180 degrees, and this occurs due to the nature of intersecting lines. Understanding these concepts is crucial in geometry, particularly in solving problems involving angles.
The assertion states that when two angles form a linear pair, their measures always add up to 180 degrees. This is a fundamental property of angles formed by intersecting lines.
Key Points:
- Linear pairs consist of two adjacent angles that share a common vertex and a side.
- When two lines intersect, they create four angles. Each pair of adjacent angles is a linear pair.
- Since they lie on a straight line, the angles in a linear pair must add up to form a straight angle, which measures 180 degrees.
Reason: Formation of Linear Pairs by Intersecting Lines
The reason explains that when two lines intersect at a single point, they create linear pairs of angles.
Key Points:
- The intersection of two lines produces four angles.
- Each angle formed at the intersection is adjacent to another angle, resulting in two linear pairs.
- For example, if angle A and angle B form a linear pair, then angle A + angle B = 180 degrees.
Conclusion:
Both the assertion and reason are correct and related. The sum of the measures of angles in a linear pair is indeed 180 degrees, and this occurs due to the nature of intersecting lines. Understanding these concepts is crucial in geometry, particularly in solving problems involving angles.
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Assertion reason question statement i assertion the sum of the measures of the angle angle in a linear pair is 180 degree statement two reason when two lines intersect each other at a single point linear pairs of angles are formed?
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Assertion reason question statement i assertion the sum of the measures of the angle angle in a linear pair is 180 degree statement two reason when two lines intersect each other at a single point linear pairs of angles are formed? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Assertion reason question statement i assertion the sum of the measures of the angle angle in a linear pair is 180 degree statement two reason when two lines intersect each other at a single point linear pairs of angles are formed? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assertion reason question statement i assertion the sum of the measures of the angle angle in a linear pair is 180 degree statement two reason when two lines intersect each other at a single point linear pairs of angles are formed?.
Assertion reason question statement i assertion the sum of the measures of the angle angle in a linear pair is 180 degree statement two reason when two lines intersect each other at a single point linear pairs of angles are formed? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Assertion reason question statement i assertion the sum of the measures of the angle angle in a linear pair is 180 degree statement two reason when two lines intersect each other at a single point linear pairs of angles are formed? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assertion reason question statement i assertion the sum of the measures of the angle angle in a linear pair is 180 degree statement two reason when two lines intersect each other at a single point linear pairs of angles are formed?.
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