Respuesta :
x = 80° and y = 50°
Given that line k is parallel to line j and line m is parallel to line n. Therefore:
(x - 30) + (x + 50) = 180° (consecutive interior angles are supplementary to each other)
solving for x gives:
x - 30 + x + 50 = 180
2x + 20 = 180
2x = 160
x = 80°
Also:
(x - 30) + y = 180° (consecutive interior angles are supplementary)
(80 - 30) + y = 180
y + 50 = 180
y = 130°
Therefore x = 80° and y = 50° makes k || j and m || n
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