In a rhombus, opposite angles are equal, and adjacent angles are supplementary (they add up to 180°).
Given that \( m∠MKA = 18.5° \), we can determine the following:
- The opposite angle \( m∠KMF \) is also \( 18.5° \) because opposite angles in a rhombus are equal.
- The adjacent angle \( m∠LKA \) would be \( 180° - 18.5° = 161.5° \).
- Therefore, the other angles must also be equal to their opposite angles.
To find which statements should be true if \( LMKF \) is a rhombus, we look for relationships tied to these properties.
- Since \( m∠MKA = 18.5° \), the adjacent angles could be \( m∠MLA \) or \( m∠LFA \).
- For \( m∠MKA = 18.5° \):
- The consecutive angles should be \( m∠LFA = 180° - 18.5° = 161.5° \) or \( m∠MLA = 161.5° \).
Among the choices provided, we are looking for a pair of statements that work with \( 18.5° \).
- Option: \( m∠LFA = 71.5° \) is incorrect because \( 71.5° \) doesn't equal \( 161.5° \).
- Option: \( m∠MLA = 71.5° \) is incorrect for the same reason.
- Option: \( m∠KMA = 18.5° \) is true because it reflects symmetry.
- Option: \( m∠MAK = 18.5° \) is true due to the same symmetry in angles, but this does not characteristically help make conclusions about other angles.
- Option: \( m∠MKF = 37° \) is not directly relevant to the conditions of a rhombus as described.
Thus, the two statements that must be true if \( LMKF \) is a rhombus are "m∠KMA = 18.5°" and "m∠MAK = 18.5°". These reflect the requirement for equal opposite angles in the rhombus.