In the given figure, lines $o \parallel h$, and we need to find the values of $x$ and $z$.

We will apply the concept of parallel lines and the angles formed by a transversal:

1. Corresponding Angles: Since $o \parallel h$ and the transversal intersects both lines, the angle $x^\circ$ is equal to the given $74^\circ$ by the property of corresponding angles.

   Thus, we have: $x = 74^\circ$

2. Linear Pair: The angles on a straight line sum to $180^\circ$. Therefore, the sum of $(3z - 1)^\circ$ and $x^\circ$ must be $180^\circ$.

   So, the equation is: $(3z - 1) + 74 = 180$ Simplifying: $3z - 1 + 74 = 180$ $3z + 73 = 180$ $3z = 180 - 73$ $3z = 107$ $z = \frac{107}{3} \approx 35.67^\circ$

Thus, the values are:

• $x = 74^\circ$
• $z \approx 35.67^\circ$

Would you like further clarification or details?

Here are 5 related questions to expand on the topic:

1. What is the corresponding angle postulate for parallel lines?
2. How do you find the value of an unknown angle using a linear pair?
3. What are alternate interior angles, and how do they relate to parallel lines?
4. Can the sum of the angles on a straight line be more than 180°?
5. What are the steps to solve equations with multiple variables?

Tip: When solving for angles involving parallel lines, always look for relationships like corresponding angles, alternate interior angles, or linear pairs.