When a conditional statement and its converse are both true, you can write it as a single biconditional statement.
An angle is obtuse if and only the angle's measure is between 90^(∘) and 180^(∘).
Practice makes perfect
When a conditional statement and its converse are both true, it can be rewritten as a single biconditional statement. If p is the hypothesis and q the conclusion, the biconditional statement is written as p if and only if q. From the exercise, we have been given both a hypothesis and a conclusion of a true statement.
p&=An angle is obtuse
q&=The angle's measure is between $90^(∘)$ and $180^(∘)$
Using deductive reasoning, we know that both the conditional statement and converse is true. Therefore, we can write this as a biconditional statement.
Biconditional statement
An angle is obtuse if and only if
the angle's measure is between $90^(∘)$ and $180^(∘)$.
