Answer: 77 degrees
Step-by-step explanation:
By the law of sines,
[tex]\frac{\sin 13^{\circ}}{6}=\frac{\sin A}{26}\\\sin A=\frac{26 \sin 13^{\circ}}{6}\\A=\sin^{-1} \left(\frac{26 \sin 13^{\circ}}{6} \right) \approx 77^{\circ}[/tex]