Question

tinuación, hallar los valores de x y z.
86°
z°
(7x + 59)°

Explanation:

Step1: Use vertical - angles property

Vertical angles are equal. The angle of $86^{\circ}$ and $(7x + 59)^{\circ}$ are vertical angles. So, $7x+59 = 86$.

Step2: Solve for x

Subtract 59 from both sides of the equation: $7x=86 - 59$. Then $7x = 27$, and $x=\frac{27}{7}\approx3.86$.

Step3: Find z

The angle of $z^{\circ}$ and $86^{\circ}$ are also vertical angles. So, $z = 86$.

Answer:

$x=\frac{27}{7}$, $z = 86$