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Fundamentals of Geometry Name _______________________________ Chapter 3 Study Guide Date ________________________________ For Questions 1-3, refer to the figure at the right. 1) Give two other names for . 2) What two points are located in the interior of ? What point is located on the angle? 3) Name the vertex and sides of . 4) Use a protractor to draw a 105 angle. Classify the angle as acute, right, or obtuse. 5) Use a protractor to find the measure of . Classify the angle as acute, right, or obtuse. For Questions 6-7, refer to the figure at the right. 6) If and , find . 7) If and , and bisects , find . 8) bisects Given and a point Q in its interior, how can you determine if ? and are opposite For Questions 9-10, refer to the figure at the right. rays. 9) Name the angle that forms a linear pair with . 10) Define two angles that are adjacent to . Which one forms a linear pair with ? What does adjacent mean? What does linear pair mean? 11) Draw two adjacent angles, and , that form a linear pair. Then draw two adjacent angles that do not form a linear pair. For Questions 12-13, refer to the figure at the right. 12) Name a pair of adjacent complementary angles. Name a pair of non- adjacent complementary angles. 13) If and are supplementary angles and , find . 14) The complement of an acute angle is a ______________ angle. 15) Find the measure of an angle that is complementary to if !. and 16) Suppose and are vertical angles. What is the value of x if " # ! and " $ !? What are the measures of and ? 17) Suppose . and is supplementary to . If %!, find (, ( ) *+ For Questions 18-20, refer to the figure at the right. In the figure, &' and are opposite rays. and , 18) Name an angle that is complementary to .. 19) Name an angle that is supplementary to/.. bisects 0, find 0.. 20) If .