Learn how to determine the missing value using the exterior angles of a polygon ex

The video tutorial explains how to determine missing measures of exterior angles in polygons. It emphasizes that the sum of exterior angles in any polygon is always 360 degrees, regardless of the number of sides. The instructor demonstrates setting up and solving an equation to find the value of unknown angles, using a specific example. The process involves adding known angles, setting up an equation, and solving for the unknown variable. The tutorial concludes with verifying the solution.

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

• 180 degrees

• 360 degrees

• 720 degrees

• 540 degrees

If the exterior angles of a polygon are 89 degrees, 67 degrees, and two unknown angles represented by X and 2X, what equation can be set up to find X?

• 89 + 67 + X + 2X = 540

• 89 + 67 + X + 2X = 360

• 89 + 67 + X + 2X = 720

• 89 + 67 + X + 2X = 180

After setting up the equation 89 + 67 + X + 2X = 360, what is the next step to solve for X?

• Multiply 89 and 67

• Divide 360 by 3

• Subtract 89 and 67 from 360

• Add 89 and 67

What is the value of X when solving the equation 3X = 204?

• 136

• 102

• 68

• 34

Why is it important to verify the solution after solving for X?

• To check if the angles are equal

• To confirm the calculation is correct

• To find the number of sides of the polygon

• To ensure the sum of angles is 180 degrees