Answer:
[tex] m\angle 6 = 107\degree [/tex]
[tex] m\angle 7 = 73\degree[/tex]
Step-by-step explanation:
[tex] m\angle 6 = m\angle 4 [/tex]
(Exterior alternate angles)
[tex] \because m\angle 4 = 107\degree... (given) [/tex]
[tex]\huge \therefore m\angle 6 = 107\degree [/tex]
[tex] \because m\angle 6+ m\angle 7= 180\degree[/tex]
(linear pair angles)
[tex] \therefore 107\degree+ m\angle 7= 180\degree[/tex]
[tex] \therefore m\angle 7= 180\degree-107\degree[/tex]
[tex] \huge \therefore m\angle 7 = 73\degree[/tex]
