Question

given the figure below, find the values of x and z. 79° (13x - 42)° x = z =

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. So, $13x - 42=79$.

Step2: Solve for $x$

Add 42 to both sides of the equation: $13x=79 + 42$, so $13x=121$. Then divide both sides by 13: $x=\frac{121}{13}=11$.

Step3: Use linear - pair property

The sum of angles in a linear pair is $180^{\circ}$. So, $z + 79=180$.

Step4: Solve for $z$

Subtract 79 from both sides: $z=180 - 79 = 101$.

Answer:

$x = 11$
$z = 101$