Question

Complete the proof to prove line m and n parallel given m<8=(4x+25) and m<6= (5x+12) and x=13

Answer 1

Statement 1: m∠8=(4x+25) and m∠6= (5x+12) and x=13

Reason: Given

Statement 2: m∠8=77 and m∠6= 77

Reason: Substitute x for 13

Statement 3: m∠8=m∠6

Reason: Transitive theorem of Equality

Statement 4: ∠8=∠6

Reason: Definition of congruent angle

Statement 5: m || n

Reason: Converse of congruent angles postulate