Final answer:
The measure of the supplement of ∠, which is determined by subtracting the angle measure from 180°, is not listed among the provided answer choices, suggesting a possible error in the question or the options.
Step-by-step explanation:
To find the measure of the supplement of ∠, we need to determine the measure of ∠ first. The given equation is m∠ = (3−36)°. Let's solve this equation:
Subtract 36 from 3 to get the measure of the angle: 3−36 = -33°.
- Since negative degrees don't make sense in this context, it seems there might be a typo in the original equation. We should verify the angle measure to ensure it is positive.
- Assuming the equation should read (3+36)°, we add 3 to 36 which equals 39°. So, m∠ = 39°.
- Now, to find the supplement of ∠, we subtract the measure of the angle from 180°, because the sum of the measures of supplementary angles equals 180°.
- The supplement of ∠ is therefore 180° - 39° = 141°.
None of the answer choices provided (33°, 63°, 93°, 123°) match the correct answer of 141°. This suggests there may have been an error in the question or the choices provided.