Final answer:
The student appears to be asking for the measure of an angle when given two angle expressions: x + 80 and x + 112. The setup suggests that these may be supplementary angles, but solving with this assumption leads to a negative angle measure, which is not possible. Additional context is likely needed.
Step-by-step explanation:
The student is asked to find the measure of an angle, given two expressions for angles: x + 80 and x + 112. These two angles are most likely part of a geometric figure, such as a triangle, where the sum of angles is 180 degrees for a triangle, or they may be supplementary angles that add up to 180 degrees if they are on a straight line. To solve this, we would set up an equation assuming the angles are supplementary:
x + 80 + x + 112 = 180 (sum of supplementary angles is 180 degrees)
Combine like terms:
2x + 192 = 180
Subtract 192 from both sides:
2x = -12
Divide both sides by 2:
x = -6
This solution does not make sense in a geometric context because angle measures cannot be negative. It seems there may be additional context or information about the problem that is missing, or a typo in the problem as stated.