Since angles $F$ and $H$ are supplementary, their measures add up to $180^\circ$. We know:

• Measure of angle $F = 77^\circ$
• Measure of angle $H = (5x + 18)^\circ$

We can set up the equation based on their sum:

$77 + (5x + 18) = 180$

Simplifying this equation:

$5x + 95 = 180$

This equation can now be used to solve for $x$.

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Related Questions

1. How do you solve the equation $5x + 95 = 180$ for $x$?
2. What are supplementary angles, and how are they used in geometry?
3. How would the equation change if the measure of angle $F$ were different?
4. What if the angles were complementary instead of supplementary?
5. How would you check the solution once $x$ is found?

Tip: Remember, supplementary angles always add up to $180^\circ$, while complementary angles add up to $90^\circ$.