Answer: z=116 x= 50 1/3
Explanation:
64 degrees corresponds to the angle on top of angle z. That means the angle on top of z is also 64 degrees. This same angle and angle z are a linear pair; they sum to 180. 64+z= 180. Subtract 64 from both sides. Z= 116. Angle z and angle (3x-35) are also a linear pair and sum to 180. We know z is 64, so 64+(3x-35) = 180. Combine like terms. 29+3x = 180. Subtract 29 from both sides. 3x = 151. Divide both sides by 3. X= 50 1/3