Final answer:
To find the angle measure to the nearest degree given that cos A = 0.4226, use the inverse cosine function.
Step-by-step explanation:
To find the angle measure to the nearest degree given that cos A = 0.4226, we can use the inverse cosine function. The inverse cosine function, also known as arccosine, can be used to find the angle whose cosine is a given value.
Using a scientific calculator, we can find that the arccosine of 0.4226 is approximately 65.75 degrees. Therefore, the angle measure to the nearest degree is 66 degrees.