Instructions: Find BD, given that line AB is the angle bisector of
CAD...please help

Answer:
BD = 2
Step-by-step explanation:
here's your solution
==> in ∆ABC and ∆ ABD
==> angle C = angle D. [ = to 90° ]
==> AB is common side
==> angle BAC = angle BAD. [ BA is angle bisector]
==> hence both traingle are congruent
==> so, BD = BC. [ by C.P.C.T ]
==> BC = 2. [ Given ]
==> BD = 2
hope it helps