Match the reasons with the statements in the proof to prove that lines land mare parallel, given that m_2 = 122° andm
Z3 = 58°
Given:
m 2 = 122° andm_3 = 58°
Prove:
1 m 2 = 122° andm_ 3 = 58°
Exterior Sides In Opposite Rays
2. 23 and 25 are supplementary angles
Glven
3. m_3= m_5 = 180°
Second Substitution
4. 58° + m 2 5 = 180°
If corresponding angles are equal,
then lines are parallel.
Definition of Supplementary Angles
5. m25 = 122
6. m 2 = m_5
First Substitution
Subtraction Property of Equality
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