Question

Solve question 9 .............

Answer 1

a.) Opposite angles of a parallelogram are equal.
b.)Because AF bisects angle A
c.)Because CE bisects angle C
d.)since angle A=angle B
so, 1/2angleA=1/2angleB
so,angle FAB=angle DCE
e.)Since AB || DC and EC is the transversal
so,m(DCE)=m(CEB) [alternate int. angles]
f.)m(FAB) = m(DCE)
and m(DCE) = m(CEB)
so, m(CEB) = m(FAB)
g.) m(CEB)=m(FAB)
but they r corresponding angles
so AF||CE
h.)AB||DC
and FC and AE are parts of AB and DC
so FC||AE