Use the sum of exterior angles to solve for the missing variable ex 3

The video tutorial explains how to solve for a missing variable when given exterior angles instead of interior angles. It highlights that the sum of exterior angles is always 360 degrees, regardless of the number of sides. The instructor demonstrates setting up a large equation, combining like terms, and solving it step-by-step to find the missing measure. The process emphasizes careful calculation to avoid mistakes.

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

• 180 degrees

• 360 degrees

• 540 degrees

• 720 degrees

Why is it beneficial to write out the full equation when solving for exterior angles?

• It ensures that no mistakes are made during calculations.

• It helps in understanding the problem better.

• It makes the problem more complex.

• It is a requirement for all math problems.

What is the first step in simplifying the equation for exterior angles?

• Multiply all terms by 360.

• Subtract the smallest angle.

• Combine like terms.

• Divide all terms by the number of sides.

After combining like terms, what is the next step in solving the equation?

• Solve for the variable by isolating it.

• Multiply the equation by 2.

• Add all the constants together.

• Subtract the sum from 360.

What is the value of X when the equation 31X - 12 = 360 is solved?

• 10

• 13

• 11

• 12