Answer:
Part 1) [tex]x=8^o[/tex]
Part 2)[tex]z=69^o[/tex]
Step-by-step explanation:
Part 1) Find the value of x
we know that
[tex](5x+71)^o=111^o[/tex] ----> by vertical angles
Solve for x
Subtract 71 both sides
[tex]5x=111^o-71^o\\5x=40^o[/tex]
Divide by 5 both sides
[tex]x=8^o[/tex]
Part 2) Find the value of z
we know that
[tex]z^o+111^o=180^o[/tex] ---> by supplementary angles (form a linear pair)
Solve for z
Subtract 111 both sides
[tex]z=180^o-111^o=69^o[/tex]
