Questions: Question 3 1 pts In a concave polygon, all angles measure less than 180 degrees. True False

Question 3 1 pts In a concave polygon, all angles measure less than 180 degrees. True False
Transcript text: Question 3 1 pts In a concave polygon, all angles measure less than 180 degrees. True False
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Solution

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Solution Steps

To determine if the statement is true or false, we need to understand the definition of a concave polygon. A concave polygon is one that has at least one interior angle greater than 180 degrees. Therefore, the statement "In a concave polygon, all angles measure less than 180 degrees" is false.

Step 1: Understanding Concave Polygons

A concave polygon is defined as a polygon that has at least one interior angle greater than \( 180^\circ \). This means that not all angles in a concave polygon can be less than \( 180^\circ \).

Step 2: Analyzing the Statement

The statement in question claims that "In a concave polygon, all angles measure less than \( 180^\circ \)." Since we know that a concave polygon must have at least one angle greater than \( 180^\circ \), the statement is incorrect.

Step 3: Conclusion

Based on the analysis, the statement is false. Therefore, the answer to the question is that the statement is not true.

Final Answer

\(\boxed{\text{False}}\)

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