1. **State the problem:** We need to find the value of $d$ given two adjacent angles formed by intersecting lines: one angle is $94^\circ$ and the other is $(8d+6)^\circ$.
2. **Use the rule for adjacent angles on a straight line:** Adjacent angles formed by intersecting lines on a straight line sum to $180^\circ$.
3. **Set up the equation:**
$$
(8d + 6) + 94 = 180
$$
4. **Simplify the equation:**
$$
8d + 6 + 94 = 180
$$
$$
8d + 100 = 180
$$
5. **Isolate $d$:**
$$
8d = 180 - 100
$$
$$
8d = 80
$$
6. **Divide both sides by 8:**
$$
d = \frac{80}{8}
$$
$$
d = \cancel{\frac{80}{8}} 10
$$
7. **Final answer:**
$$
d = 10
$$
The value of $d$ is 10.
Angle Value Ec7Dbf
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.