We are asked to identify the contrapositive of the following conditional statement.
If a triangle has one obtuse angle,
then it is an obtuse triangle.
Let's first identify the hypothesis and the conclusion of this conditional.
Hypothesis( p):& A triangle has one obtuse angle.
Conclusion( q):& The triangle is obtuse.
The contrapositive of p→ q is ~ q→ ~ p. We need to use the negation of both the hypothesis and the conclusion to form the contrapositive.
If a triangle is not obtuse,
then it does not have one obtuse angle.
Thus, option C is the correct answer.
