Question

ABCD is a parallelogram. CE bisects angle c and AF bisects angle A .in each of the following ,if the statement is true ,give reason .
1) angle A = angle C
2 angle CEB = angle Fab
3 CE||AF

Answer 1

Step-by-step explanation:

i) True, since opposite angles of a parallelogram are equal.

(ii) True, as AF is the bisector of ∠A.

(iii) True, as CE is the bisector of ∠C.

(iv) True

∠CEB = ∠DCE........(i) (alternate angles)

∠DCE= ∠ FAB.........(ii) (opposite angles of a parallelogram are equal)

From equations (i) and (ii):

∠CEB = ∠FAB

(v) True, as corresponding angles are equal (∠CEB = ∠FAB).

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