Question

Parallel lines m and n are cut by transversal l. On line m where it intersects with line l, 4 angles are created. Labeled clockwise, from the uppercase left, the angles are: blank, blank, 45 degrees, blank. On line n where it intersects with line l, 4 angles are created. Labeled clockwise, from the uppercase left, the angles are blank, (2 x minus 5) degrees, blank, blank.
What is the value of x?

Answer 1

The 45° (lower right at m) and (2x − 5)° (upper right at n) are consecutive interior angles formed by the transversal, so they are supplementary:

45 + (2x − 5) = 180
2x + 40 = 180
2x = 140
x = 70.