Question

a figura a continuación, hallar los valores de x y z. 101° z° (5x + 21)° x = z =

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. So, $5x + 21=101$.

Step2: Solve for x

Subtract 21 from both sides: $5x=101 - 21=80$. Then divide both sides by 5, $x=\frac{80}{5}=16$.

Step3: Use linear - pair property

The angle of $101^{\circ}$ and $z^{\circ}$ form a linear - pair, so $101 + z=180$.

Step4: Solve for z

Subtract 101 from both sides: $z=180 - 101 = 79$.

Answer:

$x = 16$
$z = 79$