The statement given is: "The sum of the measures of two angles is 90°. The angles are supplementary."

Supplementary angles are defined as two angles whose measures add up to 180°. Therefore, the given statement is incorrect because the sum of the measures of two angles being 90° makes them complementary, not supplementary.

Hence, the correct answer is:

$\boxed{F}$

Would you like any further details or have any questions?

Here are five related questions to expand your understanding:

1. What are complementary angles?
2. Can two right angles be supplementary?
3. What is the difference between supplementary and complementary angles?
4. If one angle is 45°, what is the measure of its supplementary angle?
5. How do you determine if two angles are complementary or supplementary?

Tip: Remember that complementary angles add up to 90°, while supplementary angles add up to 180°.