Question

given the figure below, find the values of x and z. (14x - 58)° 68° x = z =

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. So, $14x - 58=68$.

Step2: Solve for $x$

Add 58 to both sides of the equation: $14x=68 + 58=126$. Then divide both sides by 14: $x=\frac{126}{14}=9$.

Step3: Use linear - pair property

The angle $z$ and the $68^{\circ}$ angle form a linear - pair (sum to $180^{\circ}$). So, $z = 180-68=112$.

Answer:

$x = 9$
$z = 112$