Incorrect. One way to solve this triangle is to use the definition of tangent to find x:

$\displaystyle\frac{{x}}{{3}}={{\tan{{65}}}}^{\circ}\usepackage{cmbright}\Huge\$

After you solve for x, you can use the Pythagorean Theorem to find y, or you can either use another trigonometric function (such as cosine).

The two acute angles are complementary, so $\displaystyle{m}\angle{A}={{90}}^{\circ}-{{65}}^{\circ}\usepackage{cmbright}\Huge\$ .