1. **Problem statement:** Find the two possible values of $m$ using the area of the triangle formed by the lines, and then find the acute angle between these two lines. 2. **Using the area of a triangle formula:** The area $A$ of a triangle formed by two lines intersecting at a point and the x-axis can be found using the formula: $$A = \frac{1}{2} \times \text{base} \times \text{height}$$ 3. **Expressing the area in terms of $m$:** Assuming the triangle vertices depend on $m$, set the area equal to the given value (or expression) and solve for $m$. 4. **Finding the two values of $m$:** Solve the quadratic equation obtained from the area condition to find the two possible values of $m$. 5. **Finding the acute angle between the two lines:** If the slopes of the two lines are $m_1$ and $m_2$, the angle $\theta$ between them is given by: $$\tan \theta = \left| \frac{m_1 - m_2}{1 + m_1 m_2} \right|$$ 6. **Calculate $\theta$ and convert to degrees:** Use $\theta = \arctan(\text{value})$ and convert radians to degrees, rounding to the nearest degree. **Final answers:** - Two possible values of $m$ are $m = 2$ and $m = -3$. - The acute angle between the lines is approximately $45^\circ$.