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find the contrapositive and determine if its true or false

Find The Contrapositive And Determine If Its True Or False class=

Sagot :

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

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