Question

AB is the angle bisector of CAD. Solve for the missing variable?

Answer 1

Answer:

$x=8^\circ$

Step-by-step explanation:

A bisector is the line that divides an angle (which in this case is $\angle CAD$) exactly in half. Therefore, $\angle CAB = \angle BAD$ and as such we can solve for $x$:

$\angle CAB &= \angle BAD\\33^\circ &= 4x + 1^\circ\\4x = 32^\circ\\x = 8^\circ$

and we are done.