To find the angle we need to use the cosine function defined as:
[tex]\cos \theta=\frac{\text{adj}}{\text{hyp}}[/tex]For triangle 5 we notice that the adjacent leg is 23 and the hypotenuse is 32, plugging this values into the equation above and solving for theta we have:
[tex]\begin{gathered} \cos \theta=\frac{23}{32} \\ \theta=\cos ^{-1}(\frac{23}{32}) \\ \theta=44 \end{gathered}[/tex]Therefore the missing angle is 44°
