To solve for \( x \) using the angles \( m\angle 5 = 112^\circ \) and \( m\angle 8 = (2x + 8)^\circ \), we can set up an equation based on the relationship between the angles.
Assuming that these two angles are related in a way that \( m\angle 5 + m\angle 8 = 180^\circ \) (which would be true if they are supplementary angles), we can write the following equation:
\[ 112 + (2x + 8) = 180 \]
Now, let's organize that:
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Combine the constants: \[ 112 + 8 = 120 \] So, the equation becomes: \[ 120 + 2x = 180 \]
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Subtract 120 from both sides: \[ 2x = 180 - 120 \] \[ 2x = 60 \]
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Finally, divide by 2: \[ x = 30 \]
If you are asked to write it in the form \( x° + ° = ° \), it could look like this: \[ (2x + 8) + 112 = 180 \]
So, your final equation that will solve for \( x \) is: \[ (2x + 8) + 112 = 180 \]