Question
What is the sum of the interior angle measures of a convex quadrilateral?
Answers
GPT-4o mini
The sum of the interior angle measures of a convex quadrilateral is \(360\) degrees. This can be determined using the formula for the sum of the interior angles of a polygon, which is given by:
\[
\text{Sum of interior angles} = (n - 2) \times 180
\]
where \(n\) is the number of sides of the polygon. For a quadrilateral (\(n = 4\)), the calculation is:
\[
(4 - 2) \times 180 = 2 \times 180 = 360 \text{ degrees}
\]
Thus, the sum of the interior angles of a convex quadrilateral is \(360\) degrees.
\[
\text{Sum of interior angles} = (n - 2) \times 180
\]
where \(n\) is the number of sides of the polygon. For a quadrilateral (\(n = 4\)), the calculation is:
\[
(4 - 2) \times 180 = 2 \times 180 = 360 \text{ degrees}
\]
Thus, the sum of the interior angles of a convex quadrilateral is \(360\) degrees.