In the figure, ABCD is a square, EAFG is a rectangle and $\angle\text{EAB} = 252^\circ$.
Find $\angle\text{DAF}$.

1. Find the interior angle EAB.

Angles at a point sum to $360^\circ$.
Interior $\angle\text{EAB} = 360^\circ - 252^\circ = 108^\circ$

2. Find angle EAD.

Since ABCD is a square, $\angle\text{DAB} = 90^\circ$.
$\angle\text{EAD} = \angle\text{EAB} - \angle\text{DAB} = 108^\circ - 90^\circ = 18^\circ$

3. Find angle DAF.

Since EAFG is a rectangle, $\angle\text{EAF} = 90^\circ$.
$\angle\text{DAF} = \angle\text{EAF} - \angle\text{EAD} = 90^\circ - 18^\circ = 72^\circ$