Vertical lines m and n are intersected by lines k and j. At the intersection of lines m and k, the bottom right angle is (x minus 30) degrees. At the intersection of m and j, the uppercase right angle is y. At the intersection of lines k and n, the bottom left angle is (x + 50) degrees. Find the values of x and y that make k || j and m || n. x = ° y =

Respuesta :

The answer is x = 80 and y = 130 on Edge2020

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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