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What is the inverse of the following conditional statement? "If the sum of the interior angles of a polygon is 180°, then the polygon is a triangle." If the polygon is a triangle, then the sum of the interior angles of the polygon is 180°. If the polygon is not a triangle, then the sum of interior angles of the polygon is not 180°. If the sum of the interior angles of a polygon is not 180°, then the polygon is not a triangle. If the sum of the interior angles of a polygon is 180°, then the triangle is a polygon

Sagot :

Ansleigh2418idn

Answer:

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Step-by-step explanation:

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the inverse statement is:

"If the sum of the interior angles of a polygon is not 180°, then the polygon is not a triangle"

What is the inverse of the following conditional statement?

Here we have the conditional statement:

"If the sum of the interior angles of a polygon is 180°, then the polygon is a triangle"

Then the propositions are:

P = the sum of the interior angles of a polygon is 180°

Q = the polygon is a triangle

The inverse statement will be:

If not P, then not Q.

Replacing the propositions we get the inverse statement:

"If the sum of the interior angles of a polygon is not 180°, then the polygon is not a triangle"

If you want to learn more about conditional statements:

https://brainly.com/question/11073037

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