does someone mind helping me with this? Thank you!

Answer:
[tex]{ \tt{ \angle4 + \angle3 = 180}} \\ { \boxed{ \tt{ \angle3 \equiv \angle7}}} \\ { \tt{\angle4 + 114 = 180}} \\ { \tt{\angle4 = 180 - 114}} \\ { \underline{ \tt{ \: \angle4 \: = 66 \: }}}[/tex]