Given: Kv bisects ZJKL Prove: mLMKL = MZJKL Statements: 1. Kv bisects ZJKL 2. MEJKM = MZMKL 3. MZJKM + meMKL = mLJKL 4. FZMKL = MMKL 5. mDKL = ZrZMKL 6. MJJKL = MLMKL 7. MZJKL Reasons: 1. Given 2. Definition of angle bisector 3. Angle addition postulate 4. Given 5. Given 6. Given 7. Given Given: BC || LABD Prove: ZABD and ZERC are complementary Statements: 1. BC || LABD 2. BD || LDBC 3. mZDBC = mZDBE 4. mZEBC = mZDBC' 5. MZABD + mZEBC' = 90° Reasons: 1. Given 2. Corresponding angles postulate 3. Given 4. Definition of supplementary angles 5. Definition of complementary angles Given: ZL and ZM are supplementary Prove: Statements: 1. ZL and ZM are supplementary 2. ZL + ZM = 180° Reasons: 1. Given 2. Definition of supplementary angles
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Given: Kv blsects ZJKL Prove: mLMKL = MZJKL Reason: By definition of angle bisector, Kv divides angle ZJKL into two congruent angles, so mLMKL = mKvZJL = mKvZKL = MZJKL. Show more…
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