How to determine the sum of interior angles for any polygon

How to determine the sum of interior angles for any polygon

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to determine the sum of the interior angles of a polygon. It starts by discussing the sum of angles in a triangle, which is 180 degrees, and extends this concept to polygons. The method involves selecting a vertex and drawing lines to other vertices to form triangles. The number of triangles is always two less than the number of sides. The sum of the interior angles is calculated by multiplying the number of triangles by 180 degrees. This method applies to any polygon, regardless of the number of sides.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the sum of the interior angles of a triangle?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between the number of sides of a polygon and the number of triangles formed?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to find the sum of the interior angles for a quadrilateral.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the sum of the interior angles of any polygon?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the formula to calculate the sum of the interior angles of an n-gon?

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