1 5 Angle Relationships congruent angles angles having

1 -5 Angle Relationships BF bisects EBC. m EBF = 6 x + 2,

1 -5 Angle Relationships complementary angles – have a sum of ____ 90 A

1 -5 Angle Relationships adjacent angles – angles with a common vertex and a

1 -5 Angle Relationships vertical angles – two nonadjacent angles formed by intersecting lines;

1 -5 Angle Relationships perpendicular lines – form four right angles BD AC ____

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1 -5 Angle Relationships congruent angles – angles having the same measure angle bisector – a ray (or part of a ray) that divides an angle into two congruent angles RPN PN MPN _____ bisects _______, so _________. MPR

1 -5 Angle Relationships BF bisects EBC. m EBF = 6 x + 2, m CBF = 8 x – 14 Find m CBF = m EBF 8 x – 14 = 6 x + 2 – 6 x 2 x – 14 = 2 +14 2 x = 16 2 2 x = 8 m CBF = 8 x – 14 = 8(8) – 14 = 64 – 14 m CBF = 50

1 -5 Angle Relationships complementary angles – have a sum of ____ 90 A and B are complementary. 1 is complementary to 2. 180 supplementary angles – have a sum of _____ 3 and 4 are supplementary. P is supplementary to Q.

1 -5 Angle Relationships adjacent angles – angles with a common vertex and a common side, but no common interior points LTN NTE _____ and ____ are adjacent angles. linear pair – adjacent angles whose noncommon sides are opposite rays; sum = 180 3 and 4 form a linear pair. 180 m 3 + m 4 = ____ 1 and 2 form a linear pair. 180 m 1 + m 2 = ____

1 -5 Angle Relationships vertical angles – two nonadjacent angles formed by intersecting lines; congruent Vertical angles are ______. (5 x + 4) JHG KHG FHJ _______, FHK _______, Use the figure to find x. FHJ KHG 5 x + 4 = 114 – 4 5 x = 110 5 5 x = 22 114

1 -5 Angle Relationships perpendicular lines – form four right angles BD AC ____ is perpendicular to _____ Find x so that ZP and ZD are perpendicular. m DZQ + m QZP = 90 9 x + 5 + 3 x + 1 = 90 12 x + 6 = 90 – 6 12 x = 84 12 12 x = 7 AC BD ____.