Question

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

Answer 1

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 = $\frac{opposite}{adjacent}$ = $\frac{BC}{AB}$ = $\frac{12}{3}$ = 4, then

α = $tan^{-1}$ (4) ≈ 76° ( to the nearest degree )