Question: Select the correct answer from each drop-down menu. Given: LXOB ~ ZAOX Prove: m_XOB = 90 Statements Reasons 1. ZXOB ~ LAOX 1. given 2.
Select the correct answer from each drop-down menu. Given: LXOB ~ ZAOX Prove: m_XOB = 90 Statements Reasons 1. ZXOB ~ LAOX 1. given 2. ZXOB and ZAOX are supplementary | 2. linear pair theorem 3. m/XOB + mZAOX = 180 3. definition of supplementary angles 4. m/XOB = mZAOX 4. definition of congruence 5. 2m/XOB = 180 5. substitution property of equality 6. m/XOB = 90 6. division property of equality Write the proof in a paragraph format. Since AOB forms a line segment, ZXOB and ZAOX are supplementary by the substitution property of equality . Using the definition of supplementary angles, m/XOB + mZAOX = 180 . Since it is given that ZXOB ~ ZAOX, then m/XOB = mZAOX . Applying the @, then 2m/XOB = 180 . After dividing, mXOB = 90 Reset Next
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