Question

Explain whether the following statement is a valid definition: “A 150° angle is an obtuse angle.” Use the converse, biconditional, and at least one Euler diagram to support your answer.

Answer 1

Conditional Statement: "If an angle is 150 degrees, then it is an obtuse angle." Converse: "If an angle is obtuse, then it is 150 degrees."

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Answer 2

Conditional: If the angle is 150°, then it is obtuse.

Converse: If the angle is obtuse, then it will equal 150°.

Biconditional: The angle is 150° if and only if it is obtuse