How to determine the sum of all interior angles of a polygon ex 1

The video tutorial explains how to find the sum of the interior angles of a quadrilateral. It begins by discussing the method of dividing a quadrilateral into triangles, each with an interior angle sum of 180 degrees, leading to a total of 360 degrees for the quadrilateral. The tutorial also introduces a formula for calculating the sum of interior angles based on the number of sides, demonstrating its application to quadrilaterals. The video emphasizes that the sum remains constant regardless of whether the quadrilateral is regular or irregular.

What is the first step in finding the sum of the interior angles of a quadrilateral?

• Draw a circle around it

• Divide it into two triangles

• Use a protractor

• Measure each angle

What is the sum of the interior angles of any quadrilateral?

• 540 degrees

• 360 degrees

• 180 degrees

• 720 degrees

Why does the regularity of a quadrilateral not affect the sum of its interior angles?

• Because they are always symmetrical

• Because all quadrilaterals are squares

• Because the sum is always 360 degrees

• Because they have equal sides

What is the formula to find the sum of the interior angles of a polygon?

• s = n * 90

• s = (n - 2) * 90

• s = (n - 2) * 180

• s = n * 180

How many sides does a quadrilateral have?

• Three

• Four

• Five

• Six