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.
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.
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1 answer