Answer :
Final Answer:
The measure of angle ∠ABD is 76 degrees (Option a). This conclusion is drawn from the given information, which specifies the angle measurement in degrees. (Option a).
Explanation:
To determine the measure of angle ∠ABD, we need to consider the information provided. The options presented are in different units: degrees, radians, and minutes.
In this context, it's clear that we are dealing with angle measurements in degrees. Radians and minutes are not relevant here, so we can eliminate options b and d.
Now, to determine the specific measure in degrees, we must rely on the information given. The only relevant piece of data is the angle measure itself, which is stated as (Option a) "76." Since there is no indication of a different unit or any other information provided that would change the measurement, we can conclude that the measure of angle ∠ABD is 76 degrees, making option a the correct answer.
Understanding units of measurement is crucial in geometry, as different units like degrees, radians, and minutes are used for various mathematical and scientific purposes. In this case, it's important to recognize that the angle measure is explicitly in degrees.
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