14. (6 points) Given that $\alpha$ is an acute angle, $\beta$ is an obtuse angle, 4 students calculated $0.25(\alpha+\beta)$ and obtained the results $15.2^{\circ} 、 45.3^{\circ} 、 78.6^{\circ} 、 112^{\circ}$, respectively. The possible correct result is $\qquad$ .
【Solution】Solution: According to the analysis, $0<\alpha<90^{\circ}, 90<\beta<180^{\circ}$, therefore: $90^{\circ}<(\alpha+\beta)<90^{\circ}+180^{\circ}=270^{\circ}, 0.25 \times 90^{\circ}=22.5^{\circ}<0.25(\alpha+\beta)<0.25 \times$ $270^{\circ}=67.5^{\circ}$ $\therefore 15.2^{\circ} 、 45.3^{\circ} 、 78.6^{\circ} 、 112^{\circ}$ Among these, only $22.5^{\circ}<45.3^{\circ}<67.5^{\circ}$ is a possible correct result. Therefore, the answer is: $45.3^{\circ}$.