Question

two truths & a lie
two of the statements are true; one is a lie.
select the one that is a lie.
careful....you only get one chance to be correct.
take your time to think about it.
the measure of ∠caf is 25 degrees.
∠dae ≅ ∠fab.
∠baf and ∠eab are complementary.

Explanation:

Step1: Analyze $\angle CAF$

Since $\angle EAF = 90^{\circ}$ (right - angle) and $\angle EAC+\angle CAF = 90^{\circ}$, and $\angle EAC = 65^{\circ}$ (vertical angles with $\angle BAF$), then $\angle CAF=90^{\circ}-65^{\circ}=25^{\circ}$.

Step2: Analyze $\angle DAE$ and $\angle FAB$

$\angle DAE$ and $\angle FAB$ are vertical angles. By the vertical - angles theorem, vertical angles are congruent. So $\angle DAE\cong\angle FAB$.

Step3: Analyze $\angle BAF$ and $\angle EAB$

$\angle BAF = 65^{\circ}$, $\angle EAB=180^{\circ}-\angle BAF=115^{\circ}$ (linear - pair of angles). Complementary angles sum to $90^{\circ}$. Since $65^{\circ}+115^{\circ}=180^{\circ}$ (they are supplementary, not complementary).

Answer:

$\angle BAF$ and $\angle EAB$ are complementary.