In a plane, line `k` is parallel to line `l`. Line `m` intersects both line `k` and line `l`. One of the acute angles f…

When a transversal line intersects two parallel lines, the corresponding angles are equal.

Therefore, the acute angles formed by the intersection of line `m` and line `l` also measure 55 degrees. An obtuse angle and an adjacent acute angle at the same intersection form a linear pair, meaning their measures sum to 180 degrees. To find the measure of the obtuse angle, subtract the measure of the acute angle from 180: 180 - 55 = 125 degrees.

A) Incorrect. This is the result of incorrectly subtracting the given angle measure from 90 (90 - 55 = 35), which would be true only if the angles were complementary.

B) Incorrect. This is the measure of the acute angle, but the question asks for the measure of the obtuse angle.

D) Incorrect. This results from a calculation error when subtracting 55 from 180.