Final answer:
The measure of Angle 3 in degrees is 77.2 degrees.
Step-by-step explanation:
To find the value of x, we can set up an equation using the given information: 20₁ = (2)(14.5°) = 29°, 0₂ − 0₁ = 30.05° -14.5° = 15.56°. Thus, 29° ≈ (2)(15.56°) = 31.1⁰.
Now, we can substitute this value of x into the expression for Angle 3: 2x + 15 = 2(31.1) + 15 = 62.2 + 15 = 77.2 degrees. Therefore, the measure of Angle 3 is 77.2 degrees.