Question

given the figure below, find the values of x and z. 68° (15x - 38)° x = z =

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. So, $15x - 38=68$.

Step2: Solve for $x$

Add 38 to both sides of the equation: $15x=68 + 38$, so $15x=106$, then $x=\frac{106}{15}\approx7.07$.

Step3: Use linear - pair property

$z$ and $68^{\circ}$ form a linear - pair. So $z + 68=180$.

Step4: Solve for $z$

Subtract 68 from both sides: $z=180 - 68$, so $z = 112$.

Answer:

$x=\frac{106}{15}$, $z = 112$