Question

Write the following statements as a biconditional statement.

1.) An angle with a measure between 90° and 180° is called obtuse.

Answer 1

A biconditional statement relates an angle's measure to its name

Step-by-step explanation:

An angle with a measure between 90° and 180° is called obtuse

A biconditional statement combines a conditional statement with its converse. The original statement, 'An angle with a measure between 90° and 180° is called obtuse,' can be written as two conditional statements: 'If an angle has a measure between 90° and 180°, then it is called obtuse,' and 'If an angle is obtuse, then its measure is between 90° and 180°.'

Combining these two conditional statements, we get the biconditional statement: 'An angle has a measure between 90° and 180° if and only if it is called obtuse.'

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