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 ?
A.
110°
B.
125°
C.
145°
D.
160°
B. 125°
Since the angle E-F-B is divided into a right-angle (90 degrees) and 35 degrees, we can calculate the measure of angle F-B-D by subtracting the sum of these two angles from 180 degrees (because the angles form a straight line):
180 - (90 + 35) = 55 degrees
Since angle B-F-C is a straight line as well, we can calculate the measure of angle B-F-E by subtracting the measure of angle F-B-D from 180 degrees:
180 - 55 = 125 degrees
Therefore, the measure of angle E-F-B is 125 degrees.