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in the figure below, j || g. find the values of z and x. your answer is…

Question

in the figure below, j || g. find the values of z and x.
your answer is incorrect.

  • z: your answer is incorrect.
  • x: your answer is incorrect.

try again

Explanation:

Step1: Use corresponding - angles property

Since $j\parallel g$, the angle $(3x - 18)^{\circ}$ and the $66^{\circ}$ angle are corresponding angles, so $3x-18 = 66$.

Step2: Solve for $x$

$3x=66 + 18$, $3x=84$, $x = 28$.

Step3: Find $z$

$z$ and the $66^{\circ}$ angle are supplementary. So $z=180 - 66=114$.

Answer:

$x = 28$, $z = 114$