We calculate "x":
We know that two vertical angles are equal.
[tex]108° \: = \: (12x \: + \: 24)°[/tex]
[tex] - 12x \: = \: 24 \: - \: 108[/tex]
[tex] - 12x \: = \: -84[/tex]
[tex] \boxed{ \bold{x \: = \: 7°}}[/tex]
We calculate "x":
We know that a complete angle measures 360°.
[tex]108° \: + \: 108° \: + \: z \: + \: z \: = \: 360°[/tex]
[tex]216 \: + \: 2z \: = \: 360[/tex]
[tex]2z \: = \: 360 \: - \: 216[/tex]
[tex]2z \: = \: 144[/tex]
[tex] \boxed{ \bold{z \: = \: 72°}}[/tex]
Answer:
