Name Class Date Practice Form K Proving Angles Congruent Find the value of each variable. 1 . To start, identify the relationship between the marked angles in the diagram. (68 - X) 3x The marked angles are _. Then write an equation to express this relationship. ? = ? 2. 3. (10x - 18) (3x + 10) yo (8x + 14) (4x - 40) Find the measures of the labeled angles in each exercise. 4. Exercise 1 5. Exercise 2 6. Exercise 3 Developing Proof Complete the following proof by filling in the blanks. 7. Given: 41 = 22 3 5 Prove: 43 = 24 2 Statements Reasons 1) 41 = 22 1) Given 2) m/1 + m/3 + m25 = 180 2) ! 3) m41 + m43 + 90 = 180 3) ? 4) m_1 + m/3 = 90 4) ? 5) m/4+ m/2 = m25 5) ? 6) m/4+ m/2 =90 6) ? 7) m/4+ m41 = 90 7) ? 8) m24= m/3 8. Reasoning ZA and LB are adjacent complementary angles. ZC is supplementary to the angle formed by ZA and Z B. What can you conclude about Z C? Explain. Copyright @ by Pearson Education, Inc., or its affiliates. All Rights Reserved