Question

Find the contrapositive and determine if its true or false

Answer 1

Contrapositive: If the angle is a right angle then it is not obtuse. True

Step-by-step 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