Answer: If a triangle exists, then the sum of the measures of the angles is 180 degrees.
Explanation:
Here the hypothesis is "a triangle" and the conclusion is "the sum of the measures of the angles of is 180 degrees."
If-then statement or a conditional statement is denoted as p → q. or it is written as if p then q, where p is the hypothesis and q is the conclusion.
Therefore, the if-then statement for the given statement is If a triangle exists, then the sum of the measures of the angles is 180 degrees.