To determine the equation representing the relationship between the two adjacent angles mentioned, we need to understand that these angles are supplementary, meaning they add up to 180 degrees.
- The angle between the first ray and the third ray is given as \((4n + 22)^\circ\).
- The angle between the second ray and the third ray is given as \((8n - 10)^\circ\).
Since these angles are adjacent and form a linear pair, we can express their relationship with the equation:
\[ (4n + 22)^\circ + (8n - 10)^\circ = 180^\circ \]
So, the correct response is:
(4n + 22)° + (8n − 10)° = 180°
\[
\text{left parenthesis 4 n plus 22 right parenthesis degrees plus left parenthesis 8 n minus 10 right parenthesis degrees equals 180 degrees}
\]