Question

uación, hallar los valores de x y z.
(5x + 80)°
z°
120°
x =
z =

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. So, $5x + 80=120$.

Step2: Solve for x

Subtract 80 from both sides: $5x=120 - 80$, so $5x = 40$. Then divide both sides by 5, $x=\frac{40}{5}=8$.

Step3: Use linear - pair property

The angle $z$ and the $120^{\circ}$ angle form a linear pair. So $z + 120=180$. Subtract 120 from both sides to get $z=180 - 120 = 60$.

Answer:

$x = 8$
$z = 60$