T- score used in the solution is for alpa, not divided by 2. Why

Please am confused with how to check the t-score table. The video shows that you divide the alpha by 2 e.g alpha is 0.05, divide by 2 which gives  0.025. 

We are supposed to check 0.025 against the degree of freedom, to get the intersect. 

But solution keeps using the alpha figure(without dividing it by 2).

Please I need clarification.