Question

en la figura a continuación, hallar los valores de x y z.
(7x + 34)°
69°

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. So $x = 7x+34 - 180$.

Step2: Simplify the equation

$x = 7x+34 - 180$ can be rewritten as $x-7x=34 - 180$. Combining like - terms gives $-6x=-146$, then $x=\frac{146}{6}=\frac{73}{3}\approx24.33$.

Step3: Find the value of $z$

Since $z$ and $69^{\circ}$ are vertical angles, $z = 69$.

Answer:

$x=\frac{73}{3}$, $z = 69$