Question

The image shows two parallel lines and a transversal. Two horizontal parallel lines are cut by a transversal. At the intersection with the upper line, the angle in the top right position is labeled fifty-five degrees. At the intersection with the lower line, the angle in the bottom right position is labeled x degrees. Find the value of x .

Answer 1

x = 125

Explanation:

^

/

/ 55°

<---------------------------------------------------------------->

/ y°

/

<----------------------------------------------------------------->

/ x°

/

V

I made a picture above and labeled one more angle.

Angles x and y are corresponding angles of parallel lines, so they are congruent.

Angles 55° and y are a linear pair and supplementary, so their measures add to 180°.

y + 55 = 180

y = 125

x = y

x = 125