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Name:_____________________________________Pd:_________ AAG – Unit 4 Prerequisite Skills on Angles NOTES & DEFINITIONS Straight Angle : An angle measuring 180 degrees. (opposite rays – rays with the same starting point going in opposite directions) Zero Angle: An angle measuring 0 degrees. (rays with the same starting point going in the same direction) Adjacent Angles: Angles with a common ray. and are adjacent angles because Vertical Angles: Each of the pairs of opposite angles made by two intersecting lines. they share . Complementary Angles: Two angles with a sum of 90 degrees. Supplementary Angles: Two angles with a sum of 180 degrees. Linear Pair: A pair of adjacent, supplementary angles. Angle Bisector: A ray, line, or line segment that divides an angle into two equal parts. If bisects , then and Name:_____________________________________Pd:_________ AAG Unit 4 – Part 1 Angle Pairs and Relationships 1) If and Practice Problems - Angles find each of the following B A A) B) C 1 G C) 2 D) F D E 2) Let and A) Solve for x. B) Find 2 1 3 4 3) Let and 5 4) and , solve for x and find the measures of both angles. 6 are complementary. If and , find the measure of each angle. 5) Let , and . Solve for x and find . B U S H Directions: In 6-7, 6) If bisects . The diagram is not drawn to scale. and , find the value of x. D F G E 7) If and , find the value of x. D F G E 8) Refer to the diagram to the right. Find the measure of each angle. A) B) C) D) E) F) Algebra & Analytic Geometry Angle Pairs Directions: In 9-10, 9) If Name & Date bisects . The diagram is not drawn to scale. and , solve for x and find the . D F G E 10) If and , solve for x and find the . D F G E 11) On the diagram below, find , . A B C 12) Solve for x and find D . G E H 2x+50 121-5x F I , and . Solve for x and 13) and of both angles. are complementary. 14) Solve for x and find and . 2x-5 1 75-2x Directions: In 15-17, use the following figure. 15) Give two other names for 16) Name two distinct straight angles. 17) If , find each measure. A) B) C) B) . Solve for r and find the measures Algebra & Analytic Geometry Angle Pairs 18) If Name & Date and and . A) Solve for x. D N K B) Find . C) Find . U D) Is the angle bisector of ? Justify your answer. 19) Refer to the diagram below. A) Let 4 and . Find . 1 3 2 B) Let and . Find . 20) If the figure below, AD , BE , and CF intersect at point O. If what is ? and CF bisects , B C O A F 21) In the figure below, if is ? and D E , and the dotted lines bisect and , what F H I J G K 22) In the figure below, six segments intersect at O; OD bisects . If x = 40 and y = 30, what is ? F y° O E x° D C B A , OC bisects , and OB bisects