Geometry

Question Analysis:
This question involves applying the Law of Syllogism and the Law of Detachment to draw a valid conclusion from the given statements.
The main focus is on understanding the logical relationships between the statements and identifying which conclusion must be true.

Key Concept Explanation:
Law of Syllogism:
If "If P, then Q" and "If Q, then R" are both true, then "If P, then R" is also true.
Law of Detachment:
If "If P, then Q" is true, and P is true, then Q must be true.

Step-by-Step Solution:
Apply the Law of Syllogism:
From Statement 1 and Statement 2, we can conclude:
"If a triangle is equilateral, then each angle measures 60 degrees."
This is because "If P, then Q" and "If Q, then R" together imply "If P, then R."

Apply the Law of Detachment:
Since Triangle ABC is equilateral (P is true), and we have "If P, then R," we can conclude:
"Each angle of Triangle ABC measures 60 degrees."
Evaluate the Options:

A) Triangle ABC has three angles measuring 60 degrees.
This is true based on the conclusion above.

B) Triangle ABC has at least on...