Answer :
Final Answer:
The relationship between the angles ∠ACK and ∠KCF in one word can be described as: Vertical
Explanation:
The relationship between angles ∠ACK and ∠KCF can be described as "vertical" (option c). In geometry, vertical angles are pairs of angles that are opposite each other when two lines intersect. Vertical angles are always congruent, which means they have the same measure.
In this specific case, ∠ACK and ∠KCF are formed by the intersection of two lines, AC and CF. When lines AC and CF intersect at point C, ∠ACK and ∠KCF are opposite to each other. As a result, they are vertical angles and are congruent to each other.
To express this mathematically, we can write:
∠ACK ≅ ∠KCF
This means that the measure of ∠ACK is equal to the measure of ∠KCF. Therefore, the relationship between ∠ACK and ∠KCF is "vertical," and they are congruent angles.
Understanding the concept of vertical angles is essential in geometry, as it helps in solving various geometric problems and proofs.
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