Linear Pair
A linear pair is a pair of adjacent angles that are formed when two lines intersect
A linear pair is a pair of adjacent angles that are formed when two lines intersect. These angles share a common vertex and a common side, with their non-common sides forming a straight line.
When two lines intersect, they form four angles at the point of intersection. However, only two of these angles are considered to be a linear pair. Their sum is always equal to 180 degrees.
Let’s visualize this with an example. Consider two intersecting lines, line AB and line CD. Suppose angle ABD and angle BCD are adjacent angles formed by this intersection. If we add angle ABD and angle BCD together, their sum should be equal to 180 degrees.
So, ABD + BCD = 180 degrees
This relationship holds true for any pair of adjacent angles that form a linear pair.
Linear pairs are important in geometry as they help us identify and solve various angle-related problems. By recognizing that two angles are forming a linear pair, we can determine the measure of one angle if we know the measure of the other angle.
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