Final answer:
The angles in a linear pair add up to 180 degrees. By setting up an equation where the smaller angle is x and the larger angle is x + 44 degrees, solving this equation gives us x = 68 degrees and the larger angle as 112 degrees, which is not among the provided options.
Step-by-step explanation:
The question is asking to find the measures of two angles that form a linear pair, with one angle being 44 degrees more than the other. A linear pair of angles is two adjacent angles (they share a common side and a common vertex) and whose non-common sides form opposite rays. This means that the two angles add up to 180 degrees since they form a straight line.
Let's denote the smaller angle as x. This means the larger angle will be x + 44 degrees. Since they form a linear pair, their sum is 180 degrees, we can set up the following equation:
x + (x + 44) = 180
Combining like terms:
2x + 44 = 180
Subtracting 44 from both sides:
2x = 136
Dividing both sides by 2:
x = 68
Now we find the larger angle:
x + 44 = 68 + 44 = 112
The angles are 68 degrees and 112 degrees. Therefore, none of the given options a), b), or c) are correct, and the answer is d) The question does not provide sufficient information because the correct angles are not listed as answer choices.