To find the equation that will solve for \( x \), we need to understand how angles 5 and 8 relate to each other in terms of their measures. If angles 5 and 8 are supplementary, then they add up to 180°. If they are vertical angles, they are equal, and if they are complementary, they add up to 90°. However, since you provided \( m∠5 = 112° \) and \( m∠8 = (2x + 8)° \), we will assume they are supplementary.
Assuming the two angles are supplementary, we can set up the equation as follows:
\[ m∠5 + m∠8 = 180° \]
Substituting the given values:
\[ 112° + (2x + 8)° = 180° \]
Now, simplifying this gives us the equation to solve for \( x \):
\[ 112 + 2x + 8 = 180 \]
Combining like terms:
\[ 2x + 120 = 180 \]
Finally, to express this in the form you provided, we can write it as:
\[ 2x + 120 = 180 \]
Therefore, in the requested form \( ___x° + ___° = ___ \):
- \( 2x° + 120° = 180 \)
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