Final answer:
The measure of angle ACB is 31.1°, which is closest to 50° from the given options.
Step-by-step explanation:
The measure of angle ACB can be found using the given information and calculations. From the options provided, we need to determine the correct magnitude of the angle.:
- First, we can see that the measure of angle 20₁ is approximately 29°.
- Next, we calculate the difference between angles 0₂ and 0₁, which is 30.05° − 14.5° = 15.56°.
- Finally, we approximate the measure of angle ACB as 29° ≈ (2)(15.56°) = 31.1°.
Therefore, the correct answer is (b) 50°.