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Name _________________________________________Period_________Date ____________ Homework 2-5 Proving Angles Congruent Show work on separate piece of paper for #1-8 below Find the values of the variables. 1. 2. 3. 4. Find the measure of each angle. 5 is one fourth as large as its supplement, 6. is five times as large as its complement, . . Write three conclusions that can be drawn from each figure. 7. 8. 9. Developing Proof. Complete the proof of Theorem 2-3 by filling in any blanks. Theorem: If two angles are complements of the same angle, then the two angles are congruent. 0. are complementary. are complementary Given__________________ 1. By definition of complementary_ By definition of complementary_ 2. ____________________________ 3. or ____________________________ Use the diagram at the right to find the measure of each angle. a. b. c. d.