The rectangle can be drawn as follows:
The angle we are to find is labelled θ.
Considering ΔDBC, we can use the Tangent Trigonometric Ratio to get the angle:
[tex]\tan \theta=\frac{BC}{DC}[/tex]
Therefore, we can substitute as follows:
[tex]\begin{gathered} \tan \theta=\frac{6}{8} \\ \tan \theta=0.75 \\ \theta=\tan ^{-1}0.75 \\ \theta=36.9\approx37^{\circ} \end{gathered}[/tex]
Therefore, the angle is 37°
