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you do: check for understanding kyla claims that the sum of the interio…

Question

you do: check for understanding kyla claims that the sum of the interior angles of any closed figure is 360 degrees or greater. draw a figure that is a counterexample to kyla’s claim.

Explanation:

Step1: Recall angle - sum formula

The sum of interior angles of a polygon with \(n\) sides is given by the formula \((n - 2)\times180^{\circ}\), where \(n\geq3\).

Step2: Find a counter - example

For a triangle (\(n = 3\)), we substitute \(n\) into the formula: \((3 - 2)\times180^{\circ}=180^{\circ}\), which is less than \(360^{\circ}\).

Answer:

Draw a triangle (e.g., an equilateral triangle, a right - angled triangle, etc.) as a counter - example since the sum of its interior angles is \(180^{\circ}\) which is less than \(360^{\circ}\).