Question

In fig, ABCD is a parallelogram, CE bisects <C and AF bisects <A
. Give reasons for following statements.
a. <BAD = <BCD
b. <FAB = 1 /2 greater than <BAD
c. <DCE = 1 /2 greater than <BCD
d. < FAB= greater than <DCE
e. <DCE = greater than< CEB.
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Answer 1

Answer:

see the attachment first

Step-by-step explanation:

Since ABCD is a parallelogram, AB∥CD as opposite sides of a parallelogram are parallel.

And CE is the transversal passing through AB and DC.

=>∠DCE=∠CEB (Alternate Angles) -- (1)

Also since ABCD is a parallelogram

=>∠A=∠C (Opposite angles of a parallelogram as equal )

As AF and CE are bisectors of these angles respectively,

∠FAB=∠DCE --- (2)

From , 1 and 2

∠FAB=∠CEB

This means, the corresponding angles formed by lines CE and FA cut by transversal AB are equal

=>AF∥CE

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Answer 2

Answer:

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