taking the contrapositive of this statement?

Question

Statement: If every right triangle has angle defect equal to zero then the angle defect of every triangle is equal to zero

Taking the contrapositive do i have this correct? : There exists at least one triangle whose angle defect is not zero such that not every right triangle has an angle defect equal to zero.

Answer 1

You're close. It should be:

If there exists at least one triangle whose angle defect is not zero then there exists a right triangle whose angle defect is not zero.

Answer 2

You are close: but you need to replace "such that" to indicate implication: If -then...So you could correctly write:

If there exists at least one triangle whose angle defect is not zero, then not every right triangle has an angle defect that is equal to zero.

since "not every right triangle has an angle defect equal to zero" is equivalent to "there exists a right triangle whose angle defect is not equal to zero".