find the contrapositive and determine if its true or false
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Answer:
Contrapositive: If the angle is a right angle then it is not obtuse. True
Explanation:
The statement can be rewritten as:
If the angle is obtuse then it is not a right angle.
So, the initial part of the statement is the angle is obtuse and the consequence is it is not a right angle.
Then, the contrapositive is the negation of the consequence then the negation of the initial part. So, the contrapositive is:
If the angle is a right angle then it is not obtuse.
Additionally, the statement and its contrapositive are equivalent, so when the statement is true, the contrapositive is also true.
Therefore, the answer is:
Contrapositive: If the angle is a right angle then it is not obtuse. True