Three lines,
k
·
l
AD ,
k
·
l
BE , and
k
·
l
CF intersect at point O as shown in the diagram.
k
·
l
AD is
perpendicular to
k
·
l
FC . /EOD measures 32°. What is the measure of /AOB?

a. What is the measure of /FOD? How do you know?
b. Name two adjacent angles that together form /FOD. What is the sum of their measures?
c. What is the measure of /FOE? Explain.
d. Together, /FOE, /FOA, and /AOB form a line or a straight angle that measures 180°.
Explain how you can find the measure of /AOB.