Answer:
let's consider the figure I edited and named angles as 1 2 and 3 respectively
so angle 1 = angle 2( vertically opposite)
therefore;
[tex]14x - 77 = 9x - 27 \\ 14x - 9x = - 27 + 77 \\ 5x = 50 \\ x = 10(divide \: by \: 5)[/tex]
now
angle 2= 9(10)-27
=90-27
=63°
next is angle 3
i.e angle z
bye linear pair axiom
[tex]z + 63 = 180 \\ z = 180 - 63 \\ z = 117[/tex]
answer is x=10° and z=117°
