linear pair
A linear pair refers to a pair of adjacent angles that are formed when two lines intersect
A linear pair refers to a pair of adjacent angles that are formed when two lines intersect. These two angles together add up to form a straight angle, which measures 180 degrees.
To better understand a linear pair, let’s visualize it. Consider two lines, line AB and line CD, intersecting at a point P. This intersection creates four angles: ∠APC, ∠CPD, ∠BPC, and ∠APD.
In this case, a linear pair would be formed by angles ∠APC and ∠CPD, as they are adjacent angles and together they form a straight angle (∠APC + ∠CPD = 180 degrees).
It is important to note that for a pair of angles to be considered a linear pair, they must have a common vertex (point P) and a common side (line CP). Additionally, they must not overlap or share any interior points.
Linear pairs are useful in solving problems involving angles. For example, if you know the measure of one angle of a linear pair, you can determine the measure of the other angle by subtracting the known measurement from 180 degrees.
In summary, a linear pair consists of two adjacent angles formed when two lines intersect, with the angles together forming a straight angle measuring 180 degrees.
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