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D CHAPTER 3 STUDY GUIDE LINES A B C Lines: extend forever in both directions and are written like: AB, BC, AC Rays: extend forever in one direction and have one endpoint. They are written like: BD Segments: part or a piece of the line. Do not extend at all. They are written like: AB, BC, ANGLES Adjacent: angles that are next to each other, share a vertex (corner) and a side Vertical: formed by two intersecting lines (crisscross) and have the same measure Congruent: same measure Supplementary: two angles together that form a straight line (180 degrees) Complementary: two angles together that form a corner (right angle, 90 degrees) Transversals: a line that intersects two other lines Corresponding angles: lie on the same side of the transversal and have the same measure Alternate interior: on the inside, but on opposite sides of the transversal, has the same measure Alternate exterior: on the outside on opposite sides of the transversal, has the same measure AC, BD Angles of Triangles VOCABULARY Interior angles: angles inside the polygon Exterior angles: angles outside the polygon that are adjacent to the interior angles Interior triangle angles = 180° Straight lines = 180° Steps: 1.Write an equation 2.Solve for the variable 48 + 87 + x = 180 60 + 7x + 5 = 20x The remote angles = the exterior angle Find x then sub in to find the angle measure To find the total interior angle measures of a polygon 1. count the sides 2. Subtract 2 3. Multiply by 180 ( s 2) 180 total