The problem in the image seems to involve finding the value of $x$ in an angle-related problem. We have two angles labeled, one as $69^\circ$ and the other as $62x + 1^\circ$, both making a straight line.

Since both angles form a linear pair (angles on a straight line), their sum must equal $180^\circ$. Let's set up the equation:

$69^\circ + (62x + 1)^\circ = 180^\circ$

Now, we can solve this equation:

$69 + 62x + 1 = 180$

Simplifying the constants on the left side:

$70 + 62x = 180$

Subtracting 70 from both sides:

$62x = 110$

Dividing both sides by 62:

$x = \frac{110}{62} \approx 1.77$

Thus, the value of $x$ is approximately $1.77$.

Let me know if you'd like more details or explanations!

Follow-up questions:

1. Why do angles on a straight line always add up to $180^\circ$?
2. How would this problem change if there were three angles on the straight line instead