Final answer:
The measure of a supplementary angle to 111° is found by subtracting 111° from 180°. The measure of the supplementary angle is 69°.
Step-by-step explanation:
The measure of a supplementary angle to 111° is found by subtracting the given angle from 180°, because the definition of supplementary angles is that the sum of the angles is 180°. Therefore:
- Start with the full measure of a straight angle, which is 180°.
- Subtract the given angle from 180°: 180° - 111° = 69°.
The measure of the supplementary angle is 69°.