Answer:
[tex]m\angle E=118^{\circ},\: m\angle T=118^{\circ}[/tex]
Step-by-step explanation:
As the diagram is marked, [tex]WE=WT[/tex] and [tex]SE=ST[/tex]. Therefore, [tex]m\angle E=m\angle T[/tex]. Since the interior angles of all quadrilaterals add up to be [tex]360^{\circ}[/tex], we can write the following equation:
[tex]29^{\circ}+95^{\circ}+m\angle E+m\angle T = 360^{\circ}[/tex]
Subtract 29 and 95 from both sides to get [tex]m\angle E+m\angle T=236^{\circ}[/tex].
As we found earlier, [tex]m\angle E=m\angle T[/tex].
Therefore [tex]m\angle E=m\angle T=\frac{236}{2}=\fbox{$118^{\circ}$}[/tex].
