Question

given the figure below, find the values of x and z. (13x + 79)° 75°

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. So, $13x + 79=75$.

Step2: Solve for x

Subtract 79 from both sides: $13x=75 - 79=-4$. Then $x=\frac{-4}{13}$.

Step3: Use linear - pair property

$z + 75 = 180$ (since they form a linear pair).

Step4: Solve for z

Subtract 75 from both sides: $z=180 - 75 = 105$.

Answer:

$x=\frac{-4}{13}$
$z = 105$