Question

State true or false:

In the fig below. ABCD is a parallelogram. AF and CE are the bisectors of $\angle DAB$ and $\angle BCD$ respectively, then $\angle FAB=\frac{1}{2}\angle DAB$

• A. True
• B. False

Answer 1

The correct option is A True

$ABCD$ is a parallelogram. $AF$ is the bisector of $\angle DAB$
So, $\angle DAF=\angle FAB$
Now, $\angle DAB=\angle DAF+\angle FAB=\angle FAB+\angle FAB=2\angle FAB$
$\Rightarrow \angle FAB=\frac{1}{2}\angle DAB$