Question

given the figure below, find the values of x and z.
incorrect
your answer is incorrect.
(14x - 41)°
95°
z°

Explanation:

Step1: Find the value of \(x\)

Vertical angles are equal. So, \(14x - 41=95\).
Add \(41\) to both sides: \(14x=95 + 41\), \(14x=136\).
Divide both sides by \(14\): \(x=\frac{136}{14}=\frac{68}{7}\approx9.71\).

Step2: Find the value of \(z\)

Adjacent angles on a straight line sum to \(180^{\circ}\). So, \(z + 95=180\).
Subtract \(95\) from both sides: \(z=180 - 95\), \(z = 85\).

Answer:

\(x=\frac{68}{7}\), \(z = 85\)