Question

ntinuación, hallar los valores de x y z. 91° z° (11x + 47)° x = z =

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. So, $11x + 47=91$.

Step2: Solve for $x$

Subtract 47 from both sides: $11x=91 - 47$, so $11x = 44$. Then divide both sides by 11: $x=\frac{44}{11}=4$.

Step3: Use linear - pair property

The angle of $91^{\circ}$ and $z^{\circ}$ form a linear - pair. So, $91+z = 180$.

Step4: Solve for $z$

Subtract 91 from both sides: $z=180 - 91=89$.

Answer:

$x = 4$
$z = 89$