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Geometry PAP Name________________________ Section 2.8 (Proving Angle Relationships) Period______Date______________ Find the measure of each numbered angle and name the theorems that justify your work. 1. m2 57 2. m5 22 3. m1 38 4. m13 4 x 11 , m14 3x 1 5. 9 and 10 are complementary. 7 9, m8 41 6. m2 4 x 26, m3 3x 4 Complete each proof. Given: 1 and 2 form a linear pair, m1 m3 180 Prove: 2 3 Proof: Statements Reasons 1. 1 and 2 form a linear pair. m1 m3 180 1. Given 2. ______________________________ 2. Linear Pair Theorem 3. 1 is supplementary to 3 . 3. ______________________________ 4. ______________________________ 4. Angles supplementary to the same angle or angles are . Given: QPS TPR Prove: QPR TPS Proof: Statements Reasons 1. ______________________________ 1. ______________________________ 2. mQPS mTPR 2. ______________________________ 3. mQPS mQPR mRPS mTPR mTPS mRPS 3. ______________________________ 4. ______________________________ 4. Substitution 5. ______________________________ 5. ______________________________ 6. ______________________________ 6. ______________________________