Geometry Notes 2.2A Solving Problems Applying Angle Properties of Lines LG.1.G.5 Explore, with and without appropriate technology, the relationship between angles formed by two lines cut by a transversal to justify when lines are parallel M.3.G.5 Identify and apply properties of and theorems about parallel and perpendicular lines to prove other theorems and perform basic Euclidean constructions

Review When two parallel lines are cut by a transversal, what angles are congruent? Alternate interior angles, alternate exterior angles, and corresponding angles When two parallel lines are cut by a transversal, what angles are supplementary? Same side interior angles

Example Given that a ll b, solve for x. 1. Classify the angles (may have to transfer one vertically) 2. Determine their relationship (either = 180 or = each other) 3. Set up an equation 4. Solve for x. (10x + 45)  (19x)  a b c

Now You Try… Use the same steps as above to solve this problem. Given that k ll l, solve for x (2x - 15)  (x + 150)  k l p

Example Given that c ll d and l t, solve for x. t l c d

Now You Try… (9x-1)۫12x۫ 27x۫ ab c d