Question

given the figure below, find the values of x and z. 109° (8x + 69)° z° x = z = 71 try again

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. So, $8x + 69=109$.

Step2: Solve for x

Subtract 69 from both sides: $8x=109 - 69$, so $8x = 40$. Then divide both sides by 8: $x=\frac{40}{8}=5$.

Step3: Use linear - pair property

The angle $z$ and the $109^{\circ}$ angle form a linear pair. So, $z + 109=180$. Subtract 109 from both sides: $z=180 - 109 = 71$.

Answer:

$x = 5$, $z = 71$