Question

given the figure below, find the values of x and z. (8x + 47)° 95° z°

Explanation:

Step1: Use vertical - angles property

Vertical angles are equal. So, $8x + 47=95$.

Step2: Solve for $x$

Subtract 47 from both sides: $8x=95 - 47$, $8x = 48$. Then divide both sides by 8: $x=\frac{48}{8}=6$.

Step3: Use linear - pair property

The angles $z$ and 95 are a linear - pair. So, $z + 95=180$.

Step4: Solve for $z$

Subtract 95 from both sides: $z=180 - 95 = 85$.

Answer:

$x = 6$
$z = 85$