To solve for \(x\), we need to set up an equation using the information given. Since \(m∠5 = 112°\) and \(m∠8 = (2x + 8)°\), we can equate the two angles if we assume they are supplementary (the sum of the angles equals \(180°\)).
Thus, the equation would be:
\[ m∠5 + m∠8 = 180° \]
Substituting the values we have:
\[ 112° + (2x + 8)° = 180° \]
Now simplifying this equation:
\[ 112 + 2x + 8 = 180 \] \[ 2x + 120 = 180 \]
To write it in the form you specified \(__x°+__°=__°\), we can rearrange it:
\[ 2x + 120 = 180 \]
So the final answer is:
\[ 2x° + 120° = 180° \]
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