Question

What is the converse and the truth value of the converse of the following conditional:

If an angle is 60 degrees, then it is acute.

Answer 1

• converse: If an angle is acute, then it is 60°.
• the converse is FALSE

Explanation:

The converse of a conditional swaps the "if" and "then" clauses. Here, that makes the converse read ...

If an angle is acute, then it is 60 degrees.

Since an acute angle may have any non-negative measure less than 90°, it is not true that its measure is necessarily 60°.