Supplementary angles are two angles whose measures add up to \(180^\circ\).
Given:
- The measure of angle F is \(77^\circ\).
- The measure of angle H is \(5x + 18\).
To set up the equation, we can use the fact that the sum of angles F and H is \(180^\circ\):
\[ 77 + (5x + 18) = 180 \]
Now, to simplify, you can combine like terms:
\[ 77 + 18 + 5x = 180 \]
This simplifies to:
\[ 95 + 5x = 180 \]
Thus, the equation that can be used to find the value of \(x\) is:
\[ 5x + 95 = 180 \]
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