Definition: Two angles that are adjacent (share a leg) and supplementary (add up to 180°) Try this Drag the orange dot at M. A linear pair of angles is formed when two adjacent angles are formed by two intersecting lines. 4. Postulate 1-3 Two lines intersect at exactly one point. Linear Pair of angles. Explanation: A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. Addition Property: If a b= , then a c b c+ = + 2. Given 2. is a straight angle. October 10, 2011 theorem: proven statement Linear Pair Theorem: If two angles form a linear pair, then they are supplementary. Rays OA, OB, and all the rays with endpoints O that can be drawn on one side of line AB can be paired with the real numbers from 0 to 180 such that OA is paired with 0 degree and OB is paired with 180 degrees. 2. Properties Algebraic Properties of Equality Let a, b, and c be real numbers. linear pair. 3. 1. Given: <1 and <2 form a linear pair. Def of linear pair; If ( a,b ) is a linear pair, the b= a + K, where K is a constant number. In such a case, all adjacent angles form a linear pair. Let O be the midpoint of line AB. Definition and properties of a linear pair of angles - two angles that are adjacent and supplementary. Statements Reasons 1. So do ∠ 2 and ∠ 3 , ∠ 3 and ∠ 4 , and ∠ 1 and ∠ 4 . The area of a region is the sum of the areas of its non-overlapping parts. If a and b are members of a linear pair, then there is a unique way to write them: ( a,b ) Fill in the missing reason in the proof. Home Contact About Subject Index. Postulate 1.8 or angle addition postulate Postulate 1-2 A line contains at least two points. A pair of adjacent angles has a … Proof. Example: Because