To find the measure of the exterior angle to ∠X in triangle XYZ, we can first determine the measure of ∠X.
The sum of the interior angles in any triangle is 180°. Thus, we can find the measure of ∠X as follows:
\[ m∠X = 180° - m∠Y - m∠Z \]
Substituting the given angles:
\[ m∠X = 180° - 62.45° - 41.8° \]
Calculating this step-by-step:
- \( 62.45° + 41.8° = 104.25° \)
- \( 180° - 104.25° = 75.75° \)
Thus, \( m∠X = 75.75° \).
The measure of the exterior angle to ∠X is equal to the sum of the measures of the two non-adjacent interior angles in the triangle, which are ∠Y and ∠Z:
\[ m \text{ (exterior angle to } ∠X) = m∠Y + m∠Z \]
Calculating this:
\[ m \text{ (exterior angle to } ∠X) = 62.45° + 41.8° = 104.25° \]
Therefore, the measure of the exterior angle to ∠X is:
\[ \boxed{104.25°} \]