Question

given the conditional: if it is a right angle, then it measures exactly 90 degrees. think about the contrapositive of this statement. is the contrapositive of this statement true or false? a false b true

Explanation:

Step1: Find the contrapositive

The original statement is “If \(p\) (it is a right - angle), then \(q\) (it measures exactly \(90\) degrees)”. The contrapositive of “If \(p\), then \(q\)” is “If not \(q\), then not \(p\)”. So the contrapositive is “If it does not measure exactly \(90\) degrees, then it is not a right - angle”.

Step2: Check the truth value

By the definition of a right - angle (an angle that measures \(90\) degrees), if an angle does not measure \(90\) degrees, it cannot be a right - angle.

Answer:

B. True