Given that ∠A and ∠B are complementary, we have:
[tex]m∠A+m∠B=90\degree[/tex]From the problem, we know that:
[tex]m∠B=64°[/tex]Finally:
[tex]\begin{gathered} m∠A+64\degree=90\degree \\ m∠A=90\degree-64\degree \\ \therefore m∠A=26\degree \end{gathered}[/tex]