1. **Stating the problem:** We are given two angles: one expressed as $3x^\circ + 50^\circ$ and the other as $285^\circ$. We want to find the value of $x$ if these angles are related, for example, if they represent angles on a straight line or a full rotation. 2. **Understanding the relationship:** Since the problem shows two arrows pointing horizontally right, and one angle is $285^\circ$, it suggests these angles might be supplementary or part of a full circle (360°). Let's assume they sum to 360° because $285^\circ$ is close to 360°. 3. **Set up the equation:** $$3x + 50 + 285 = 360$$ 4. **Simplify the equation:** $$3x + 335 = 360$$ 5. **Isolate $x$:** $$3x = 360 - 335$$ $$3x = 25$$ 6. **Solve for $x$:** $$x = \frac{25}{3}$$ 7. **Show cancellation step:** $$x = \cancel{\frac{25}{3}} = \frac{25}{3}$$ 8. **Final answer:** $$x = \frac{25}{3} \approx 8.33$$ This means the value of $x$ is approximately 8.33 degrees.