To solve for \( x \), we will establish that angles \( 5 \) and \( 8 \) are related in some way, but without additional information about how these angles are positioned (for example, if they are supplementary, complementary, or vertical angles), we can only create a general equation.
Assuming angles \( 5 \) and \( 8 \) are supplementary (the most common case when two angles add up to \( 180^\circ \)), we can formulate the equation as follows:
Given:
- \( m∠5 = 112^\circ \)
- \( m∠8 = (2x + 8)^\circ \)
The equation for supplementary angles would be: \[ m∠5 + m∠8 = 180^\circ \]
Substituting the known values, we get: \[ 112^\circ + (2x + 8)^\circ = 180^\circ \]
To express this in the requested format of ___x° + ___° = ___°, we will rearrange it:
- Combine like terms: \[ 2x + 112 + 8 = 180 \]
This simplifies to: \[ 2x + 120 = 180 \]
Thus, the equation to solve for \( x \) would be: \[ 2x + 120 = 180 \]
Now we can fill in the blanks:
- \( ___x° + ___° = ___° \) would correspond to:
- \( 2x + 120 = 180 \)
So the completed statement is: 2x° + 120° = 180°.