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Find the values of x and y that make k || j and m || n. x = ° y = °

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KhiradAfaqidn

The values of x and y are x = 80° and y = 130°.

What is conservative interior angles?

When a line, referred to as the transversal line, crosses two other lines, two angles are created that are known as consecutive interior angles. Consecutive interior angles, or co-interior angles for short, are the angles formed on the inside of the two lines and on the same side of the transversal line.

Consecutive interior angle CONVERSE is another name for the same side interior angle CONVERSE.

Line line n || m

if (x - 30) + (x + 50) = 180.

x -  30 + x + 50 = 180

2x + 20 = 180

subtract 20 from both sides

2x = 160

divide both sides by 2

x = 80

IF (x - 30) + y = 180, then k || j.

(80 - 30) + y = 180

50 + y = 180

subtract 50 from both sides

y = 130

Hence, the values of x and y are x = 80° and y = 130°.

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