Answer
$A = 34˚$
Work Step by Step
1. Find the height of the triangle, Let $x = $ height of the triangle
$tan(45) = \frac{x}{2}$
$x = 2tan(45)$
by GDC / calculator
$x = 2.0$ units
2. Find $A$
$tan(A) = \frac{2}{3}$
$A = tan^{-1}(\frac{2}{3})$
$A = 33.6900...˚$
$A = 34˚$