Multiple Choice Question
The figure below shows ray
and two lines that intersect at point F.
Lines B-D and E-C intersect at F. The angle E-F-B divided into a right-angle and 35 degrees.
What is the measure of DFC?
A.
110°
B.
125°
C.
145°
D.
160°
C. 145°
explain
To find the measure of angle DFC, we need to consider the relationships between angles when two lines intersect. In this case, we can see that angles EFB and BFD are adjacent angles that form a straight line. Since angle EFB is divided into a right-angle (90 degrees) and 35 degrees, angle BFD must be 180 - 35 = 145 degrees.
Since angles BFD and DFC are also adjacent and form a straight line, angle DFC must be the supplementary angle to angle BFD, meaning it will also be 180 - 145 = 35 degrees.
Therefore, the measure of angle DFC is 145 degrees.