Final answer:
Without additional context, it is impossible to accurately determine the measure of angle E from the given options with the information provided. The units and calculations mentioned involve degrees, but they do not clearly indicate how they relate to angle E. The given options (A) 28, (B) 36, (C) 54, (D) 80.
Step-by-step explanation:
To determine the measure of angle E, we need to understand that the units of measurement for angles can be in degrees, minutes, and seconds.
Since the options given are in degrees and the information provided contains calculations with degrees, we need to ensure that we round the relevant calculations to the nearest degree.
From the given information, the closest data point we have to find the angle is '20₁=(2)(14.5°)= 29°, 0₂ − 0₁ = 30.05° − 14.5°=15.56°'. This suggests that a related angle calculation results in 'Thus, 29° ≈(2)(15.56°)= 31.1º'.
However, without the context of how these degrees relate to angle E or additional information, we cannot determine the measure of angle E with the given options (A) 28, (B) 36, (C) 54, (D) 80.
We need more context or the problem statement that leads to determining angle E's measurement.