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What is a Linear Pair of Angles? Video Lecture - Class 7

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1. What is a linear pair of angles?
A linear pair of angles consists of two adjacent angles that share a common vertex and a common side. The non-common sides of the angles form a straight line. In other words, the sum of the measures of the two angles in a linear pair is always 180 degrees.
2. How can we identify a linear pair of angles?
To identify a linear pair of angles, look for two adjacent angles that have a common vertex and a common side. The non-common sides of the angles should form a straight line. If these conditions are met, then the angles form a linear pair.
3. What is the measure of each angle in a linear pair?
The measure of each angle in a linear pair is always half of the sum of the measures of the two angles. Since the sum of the measures of the two angles is always 180 degrees, each angle in a linear pair would have a measure of 90 degrees.
4. Can a linear pair of angles be supplementary?
No, a linear pair of angles cannot be supplementary. In a linear pair, the sum of the measures of the two angles is always 180 degrees, which means they are always supplementary. Any other pair of angles that is supplementary but not adjacent would not be considered a linear pair.
5. What is the significance of understanding linear pairs of angles?
Understanding linear pairs of angles is important in geometry as it helps in solving problems related to angles and lines. It allows us to determine the measures of angles when given certain information about their relationships. Additionally, knowledge of linear pairs helps in identifying and classifying different types of angles in geometric figures.
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