What is the inverse of the conditional statement? If a polygon has five angles, then it is a pentagon. If a polygon is a pentagon, then it has five angles. If a polygon is not a pentagon, then it does not have five angles. If a polygon does not have five angles, then it is not a pentagon. If a polygon has five angles, then it is not a pentagon.

If a polygon does not have five angles, then it is not a pentagon

Step-by-step explanation:

To make an inverse of conditional statement, you should put negation on both hypothesis and result. If the statement is "if P, then Q" the inverse will be "if not P, then not Q"

The statement in this question is "If a polygon has five angles, then it is a pentagon. "

Then the P in this question is "polygon has five angles" and the Q is "it is a pentagon". The inverse will be

~P= "polygon does not five angles"

~Q= " it is not a pentagon"

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

a

step-by-step explanation: