Final answer:
The correct fill in the blank option is d) °6, °1, Transitive Property of Congruence because this property states that if one angle is congruent to a second, and the second is congruent to a third, then the first and third are also congruent.
Step-by-step explanation:
To fill in the blank, one must apply the provided mathematical properties and theorems correctly to identify the relationship between the angles. Given that °6 ≅ °7 and °1 ≅ °7, we can use a property of equality or congruence to determine the relationship between °6 and °1.
One of the options must show that °6 is also congruent to °1 through a known property or theorem. The Transitive Property of Congruence is the property that states if one angle is congruent to a second angle, and the second angle is congruent to a third angle, then the first and third angles are also congruent. Therefore, the answer that uses the Transitive Property of Congruence to conclude that °6 is congruent to °1 is the correct choice.
The correct fill in the blank option from the given choices is thus:
- Option d) °6, °1, Transitive Property of Congruence