For this item, any answers that are not whole numbers should be entered as a decimal, rounded to the tenths place.
In the figure below, line AB, line CD, and line EF intersect at point Q. Line AB is perpendicular to line CD.
Since line AB is perpendicular to line CD, we can see that angle AQC is a right angle. Therefore, angle CQE must also be a right angle because it is supplementary to angle AQC. This means that angle CQF must also be a right angle because it is supplementary to angle CQE.
Therefore, angle AQE must be a straight angle (180 degrees) because it is the sum of angles AQC and CQE. And angle CQF must also be a straight angle (180 degrees) because it is the sum of angles CQE and EQF.
So, angle EQF must be 0 degrees because it is the sum of angles EQF and CQF.
Therefore, the measure of angle EQF is 0 degrees.