Final answer:
The converse of the conditional statement 'If an angle measures 180 degrees, then the angle is called a straight angle' is 'If an angle is called a straight angle, then it measures 180 degrees', which is an option (a).
Step-by-step explanation:
The question asks for the converse of the conditional statement: If an angle measures 180 degrees, then the angle is called a straight angle. To form the converse of a conditional statement, you simply switch the hypothesis and the conclusion. Thus, the converse of the given statement is: If an angle is called a straight angle, then it measures 180 degrees. This would correspond to option (a) from the provided choices.
Option (b) represents the inverse of the original statement, and option (d) represents the contrapositive. While both the inverse and the contrapositive are related to the original conditional statement, they are not the same as the converse. Option (c) is not directly related to the structure of the original statement and is an independent conditional statement about angles. In understanding conditional statements and their converses, it is essential to recognize if and how the truth of the statement is affected. Just because a conditional statement is true, it does not necessarily mean that its converse is also true. This distinction is important in logical reasoning and geometric proofs.