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Given: Line l and line m intersect Prove: Image of perpendicular lines l and m with 1, 2, 3, and 4 as angles at the point of intersection Statements Reasons 1. Line l and line m intersect 1. given 2. is supplementary to 2. linear pair theorem 3. ? 3. ? 4. 4. congruent supplements theorem Which statement and reason best completes the proof? A. 3. is supplementary to 3. linear pair theorem B. 3. 3. definition of supplementary angles C. 3. 3. definition of supplementary angles D. 3. is supplementary to 3. linear pair theorem

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olayemiolakunle65

An angle will always be formed when two or more lines intersect. These can form a series of complementary or supplementary angles. Complementary angles add upt o a right angle, while supplementary angles are two or more angles formed that add up to [tex]180^{o}[/tex]. Thus two supplementary angles can be referred to as a linear pair.

Therefore the required statements and reasons for the question are stated below:

          STATEMENT                                 REASONS

1. Line l and line m intersect                  Given

2. <1 is supplementary to <2,                        

   <3 is supplementary to <4                 Linear pair theorem

3. m<2 + m<3 = [tex]180^{o}[/tex],      

   m<3 + m<4 = [tex]180^{o}[/tex]                               Definition of Supplementary angles

4. m<1 + m<2  = m<3 + m<4 = [tex]180^{o}[/tex]        Congruent Supplement Theorem

For more clarifications on supplementary angles, visit: https://brainly.com/question/14941189

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