These two angles (140° and 40°) are Supplementary Angles, because they add up to 180°: Notice that together they make a straight angle. Example two angles (140° and 40°) are Supplementary Angles, because they add up to 180°. A linear pair of angles is formed when two adjacent angles are formed by two intersecting lines. In the next figure, ∠ 3 and ∠ 4 are supplementary, because their measures add to 180 ° . If two angles form a linear pair, the angles are supplementary. (Linear pair.) Not all supplementary angle form a linear pair. Supplementary angles and complementary angles are defined with respect to the addition of two angles. Linear Pairs are a special subset of supplementary angles. If the sum of two angles is 180 degrees then they are said to be supplementary angles, which forms a linear angle together.Whereas if the sum of two angles is 90 degrees, then they are said to be complementary angles, and they form a right angle together. If they are conected, notice that together they make a straight angle. A linear pair of angles is always supplementary. Hence, the linear pair of angles always have a common vertex. Supplementary angles are two angles whose same is 180^o Linear pairs are adjacent angles who share a common ray and whose opposite rays form a straight line. Example 2: the angles form a line (linear pair) therefore they are supplementary Example 3: the angles can be non-adjacent as long as their sum is 180° 110°+ 70° = 180° The sum is 180° therefore they are supplementary. What is the difference between a linear pair and a pair of supplementary angles? If then form Hypothesis Conclusion 4 Angles in a linear pair are supplementary from MATH GENMATH at University of San Carlos - Main Campus Parallel Lines and Pairs of Angles Geometry Index. The linear pair theorem is widely used in geometry. How many other linear pairs can you see in the diagram? Two Angles are Supplementary if they add up to 180 degrees. Supplementary Angles Supplementary angles are two angles whose measures add up to 180 ° . Also, there is a common arm that represents both the angles of the linear pair. The adjacent angles are the angles that have a common vertex. Two Angles are Supplementary when they add up to 180 degrees. Step-by-step explanation: please follow me only 3 followers are remaining for 500 followers. Such angles are also known as supplementary angles. But, all linear pairs are supplementary. This is called the linear pair theorem. But the angles don't have to be together. A supplementary angle can be either adjacent or non-adjacent.A linear pair must be adjacent and is never non-adjacent.NOTE: They both add up to 180°. SupplementaryAngles are any two angles that sum to 180 degrees. Linear pairs are any two angles that share a common ray and sum to 180 degrees. 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