Question

Find the values of x and y.

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Part 1
x

41 ​(Do not include the degree symbol in your​ answer.)
Part 2
y

enter your response here ​(Do not include the degree symbol in your​ answer.)

Answer 1

Explanation:

when a line intersects parallel lines, then the intersecting angles must be the same for each of the parallel lines.

so,

y = 139

and the angles y and x are supplementary (or a linear pair). that means together they have 180°.

that is simply because the sum of all angles around a single point on one side of a line must be 180° (because the line is like the diameter of a circle with the "rotation point" being the center, and one side of the line represents the half-circle).

therefore,

y + x = 180

139 + x = 180

x = 41