Use the conditional statement to answer the question.

If an angle is a right angle, then the angle measures 90°.

Are the statement and its contrapositive true?

A. Both the statement and its contrapositive are true.

B. Both the statement and its contrapositive are false.

C. The statement is true, but the contrapositive is false.

D. The statement is false, but the contrapositive is true

Answer: The correct option is

(A) Both the statement and its contrapositive are true.

Step-by-step explanation: We are given to check whether the following conditional statement and its contrapositive is true or false:

"If an angle is a right angle, then the angle measures 90°".

Let us consider that

p : an angle is a right angle

and

q : the angle measures 90°.

So, the conditional statement is p ⇒ q. This is true, because the measure of a right angle is 90°.

The contrapositive of "p ⇒ q" is "not q ⇒ not p".

That is, if the measure of an angle is not 90°, then the angle is not right angle.

This is also true, because only angles with measure 90° are right angles.

Thus, the given statement and its contrapositive are TRUE.

Option (A) is correct.

Answer: A. Both the statement and its contrapositive are true.

It is written by switching the hypothesis and conclusion of a conditional statement and nullifying both.

For example, the contrapositive of "If the sky is blue then it is day" is " If it is day then the sky is blue."