12. 89 Angles that form a straight line (Linear Pair… There is no way to avoid the 2 pairs of congruent angles because of the requirement that the shape must have 2 pairs of congruent sides (the first requirement). Corresponding angles. Angle-Angle-Side (AAS) Congruence Theorem. Students have made conjectures that linear pairs are always supplementary and vertical angles are always congruent. 8. Show Step-by-step Solutions. Angle pairs are called that because they always appear as two angles working together to display some unusual or interesting property. Name all alternate exterior angles. the remote interior angles of an exterior angle are the two angles of the triangle that are _____ to the given exterior angle. ∠ABC and ∠ABD are angles in a linear pair i.e. In the diagram below, and are a linear pair. where non-common side forms a straight line, So, In a linear pair, there are two angles who have, Linear pair is a pair of adjacent angles where non-common side forms a straight line, Hence, angle Theorem – If two angles are congruent their supplements are congruent. Are linear pairs congruent? Describe the system 6x - 2y = 10, and, 9x - 3y = 8 as consistent and independent, consistent and dependent, or inconsistent. Statement options: m angle 2+ m angle 3= 180; m angle 3+ m angle 4= 180; angle 2 and angle 3 are a linear pair; angle 3 and angle 4 are a linear pair ; m angle 2+ m angle 3= m angle 3+ m angle 4; lines m and n intersect at P; Reason Options: def. neither

vertical angles

alternatives

linear pair