jc1273628
jc1273628 jc1273628
  • 15-11-2020
  • Mathematics
contestada

If j//l, m1=135°, m2=55°, and m3= 45°, list all other parallel lines, Justify your answers.

If jl m1135 m255 and m3 45 list all other parallel lines Justify your answers class=

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sqdancefan
sqdancefan sqdancefan
  • 28-11-2020

9514 1404 393

Answer:

  j ║ l ║ m

Step-by-step explanation:

Angles 1 and 3 are "consecutive exterior angles", so are supplementary if lines j and m are parallel.

  ∠1 + ∠3 = 135° +45° = 180° . . . . so, angles 1 and 3 are supplementary

Lines j and m are parallel.

__

Angles 2 and 3 are corresponding, so would be congruent if line k were parallel to lines j, l, and m. Those angles are not congruent, so line k is not parallel to any of the other lines.

The parallel lines are j, l, m.

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