Polygon Angle Measures and Calculations

This video tutorial explains how to find a missing angle in a polygon, specifically a pentagon. It begins by reviewing the formula to calculate the total degrees in a polygon, then demonstrates how to find the missing angle by subtracting known angles from the total. The tutorial concludes with a verification step to ensure the calculation is correct.

What is the formula to calculate the total degrees in a polygon?

• n * 180

• (n - 2) * 180

• (n + 2) * 180

• n * 360

In the formula (n - 2) * 180, what does 'n' represent?

• The number of vertices in the polygon

• The number of angles in the polygon

• The total degrees in the polygon

• The number of sides in the polygon

How many sides does a pentagon have?

• 6

• 7

• 4

• 5

Using the formula, what is the total degree measure of a pentagon?

• 360°

• 450°

• 540°

• 720°

If a pentagon has angles measuring 112°, 130°, 96°, and 105°, what is the measure of the missing angle?

• 110°

• 100°

• 97°

• 120°

What is the first step in finding the missing angle in a polygon?

• Divide the total degrees by the number of sides

• Multiply the number of sides by 180

• Subtract known angles from the total degrees

• Add all known angles

What should the sum of all angles in a pentagon be?

• 450°

• 360°

• 600°

• 540°

How can you verify the calculated missing angle?

• By checking if the sum of all angles equals the total degrees

• By subtracting the missing angle from the total degrees

• By multiplying the missing angle by the number of sides

• By dividing the total degrees by the number of known angles

What is the sum of the angles 97°, 112°, 130°, 96°, and 105°?

• 500°

• 450°

• 540°

• 600°

If the sum of angles in a polygon does not match the calculated total, what might be the issue?

• The polygon has more than five sides

• An error in the calculation

• The polygon is not regular

• The formula is incorrect