Respuesta :

vertical angles equal each other so (13x-85) = 97
 we can solve for x:

 13x-85 = 97
add 85 to each side:
13x = 182
divide both sides by 13

x = 182 / 13
x = 14

z and 97 are supplementary angles and need to equal 180 degrees

z = 180 - 97 = 83