Final answer:
The measure of the indicated angle to the nearest degree for option (d) 75 degrees is approximately 31 degrees.
Step-by-step explanation:
The measure of the indicated angle can be found by using the information provided. For option (a) 32 degrees, the measure is given as 30.1 degrees. For option (b) 35 degrees, the measure is given as 48.7 degrees. For option (c) 50 degrees, it is indicated that there is no measure available. For option (d) 75 degrees, the measure can be calculated as follows:
Start with 20 degrees (20₁). Double it to get 40 degrees (2 x 14.5° = 29°) (29₁). Subtract 0₁ from 0₂ to get 30.05 degrees (-14.5° = 15.56°). Multiply 29 degrees by 2 x 15.56° to get approximately 31.1 degrees.
Therefore, the measure of the indicated angle to the nearest degree for option (d) 75 degrees is approximately 31 degrees.