Looking at the image, we can see that m∠2 and m∠5 are vertical angles.
Since m∠2 and m∠5 are vertical angles, they are congruent, so we have:
[tex]\begin{gathered} m\angle5=m\angle2 \\ m\angle5=63\degree \end{gathered}[/tex]
So the measure of angle ∠5 is 63°.
