Final answer:
To find the angle measures with a cosine value of 0.10, we can use the arccosine function to calculate the inverse cosine of 0.10. The correct angle measures are 147.1° and 542.9°.
Step-by-step explanation:
The student is given the cosine value of 0.10 and is asked to identify the angle measures that correspond to this cosine value. To find the angles, we can use the inverse cosine function (also called arccosine) on a scientific calculator. The answer choices are A) 147.1°, B) 292.9°, C) 397.1°, and D) 542.9°. By calculating the arccosine of 0.10, we find that the correct angle measures are A) 147.1° and D) 542.9°.