Exploring Angles in Polygons

The video tutorial explains the concepts of interior and exterior angles in polygons, focusing on both regular and irregular shapes. It details how to calculate the sum of interior angles using the formula (n-2)×180, where n is the number of sides. The tutorial also covers exterior angles, emphasizing that their sum is always 360 degrees, regardless of the polygon type. For regular polygons, it explains how to find the measure of each angle by dividing the total sum by the number of sides. The video provides examples and encourages viewers to practice using the formulas.

What defines an interior angle in a polygon?

• An angle formed at each vertex inside the polygon

• An angle formed outside the polygon

• An angle formed by extending the sides of the polygon

• An angle unrelated to the polygon

How do you calculate the sum of interior angles in a quadrilateral?

• Sum the angles of two triangles

• Divide the number of sides by 180

• Add 360 to the number of sides

• Multiply the number of sides by 180

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

• 900 degrees

• 720 degrees

• 360 degrees

• 540 degrees

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

• Number of sides x 180

• (Number of sides - 2) x 180

• (Number of sides + 2) x 180

• (Number of sides - 3) x 180

If a polygon has 7 sides, what is the sum of its interior angles?

• 720 degrees

• 1080 degrees

• 1260 degrees

• 900 degrees

What is the relationship between interior and exterior angles in a polygon?

• They are unrelated

• They are equal

• They are complementary

• They are supplementary

What is the sum of exterior angles of any polygon?

• 180 degrees

• 360 degrees

• The number of sides times 180

• The number of sides minus 180

How do you find the measure of each interior angle in a regular polygon?

• Subtract each exterior angle from 360

• Multiply the number of sides by 180 and subtract from 360

• Divide the sum of all interior angles by the number of sides

• Add 180 to each exterior angle

What is the measure of each exterior angle in a regular decagon?

• 36 degrees

• 18 degrees

• 72 degrees

• 10 degrees

How many degrees does each exterior angle of a heptagon measure?

• 51.43 degrees

• 45 degrees

• 35 degrees

• 60 degrees