ABCD is a rectangle. Find the measure of angle α to the nearest degree.

Answer:
α ≈ 76°
Step-by-step explanation:
The vertices of a rectangle are right , that is 90°
Using the tangent ratio in right triangle ABC
tanα = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{12}{3}[/tex] = 4, then
α = [tex]tan^{-1}[/tex] (4) ≈ 76° ( to the nearest degree )