ANSWER

Step-by-step explanation
First, let us find the value of c using the Pythagoras theorem:

where a and b are the other two legs of the triangle, and c is the hypotenuse
Therefore, we have that:
![\begin{gathered} 10^2+10^2=c^2 \\ \Rightarrow100+100=c^2 \\ 200=c^2 \\ \Rightarrow c=\sqrt[]{200} \\ c=14.1^(\prime) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/pey0cd0fq39yww1pi9pq7g9msyhva4nkto.png)
Next, we find the measure of A by using the trigonometric ratios, SOHCAHTOA, of right angles:

Therefore, we have:

That is the answer.