Polygon Angle Properties and Calculations

The video tutorial covers a practice test on geometry, focusing on calculating the sum of interior and exterior angles in polygons, determining the number of sides, and solving for missing angles using algebra. It also explores properties of regular polygons and parallelograms, providing step-by-step solutions to various geometry problems.

What is the sum of the interior angles of a 41-gon?

• 7400

• 7600

• 7200

• 7020

If the sum of the interior angles of a polygon is 2160, how many sides does it have?

• 16

• 14

• 18

• 12

What is the measure of an interior angle of a regular decagon?

• 144

• 140

• 130

• 120

What is the sum of the exterior angles of any polygon?

• 180

• 270

• 360

• 450

What is the measure of each exterior angle of a regular pentagon?

• 60

• 75

• 72

• 80

How do you find the missing angle in a heptagon?

• Subtract the known angles from 1080

• Subtract the known angles from 720

• Subtract the known angles from 900

• Subtract the known angles from 540

In a pentagon, if one angle is 90 degrees, what is the sum of the other angles?

• 540

• 450

• 630

• 360

What is the measure of an angle in a regular octagon?

• 120

• 135

• 108

• 144

If the sum of the exterior angles of a polygon is 360, what is the value of x if 20x + 100 = 360?

• 11

• 10

• 13

• 12

In a parallelogram, if JM = 27 and ML = 16, what is KL?

• 16

• 27

• 46

• 30