Exploring the Triangle Exterior Angle Theorem

The video tutorial covers five practice problems on exterior angles in triangles. It begins with an introduction to the exterior angle theorem and demonstrates how to solve problems using this theorem. The instructor emphasizes understanding basic angle facts rather than memorizing theorems. Each problem is explained step-by-step, highlighting different approaches to finding exterior angles. The tutorial concludes with a summary of key concepts and encourages viewers to engage with the content.

What theorem states that the sum of the interior angles opposite the exterior angle equals the exterior angle itself?

• Interior Angle Theorem

• Supplementary Angle Theorem

• Exterior Angle Theorem

• Parallel Angle Theorem

If two interior angles of a triangle are 65 and 70 degrees, what is the exterior angle?

• 180 degrees

• 150 degrees

• 135 degrees

• 45 degrees

In the equation 'x + 45 = 3x + 5', what is the value of x?

• 40 degrees

• 30 degrees

• 20 degrees

• 10 degrees

What should you do if a problem asks for the measure of the exterior angle after solving for x?

• Multiply x by 2

• Add x to 180

• Substitute x back into the equation

• Divide x by 2

What is the value of x when 2x + 10 + 3x + 5 = 60?

• 5

• 9

• 15

• 45

How can the orientation of a diagram affect solving a problem?

• It changes the values of the angles

• It does not affect the problem

• It changes the exterior angle theorem

• It might require rethinking the approach

What is the value of angle m if 90 + x = m and x = 20?

• 90 degrees

• 70 degrees

• 110 degrees

• 130 degrees

What basic fact about triangles is used to solve for x in the equation 90 + 2x + 30 + x = 180?

• The exterior angle equals the sum of the opposite interior angles

• The sum of two angles is equal to the third angle

• All angles in a triangle add up to 360 degrees

• All angles in a triangle add up to 180 degrees

What is the value of y if 90 + y = 130?

• 60 degrees

• 50 degrees

• 40 degrees

• 30 degrees

How can you determine the measure of an angle if it forms a straight line with another angle?

• Subtract it from 180 degrees

• Subtract it from 90 degrees

• Add it to 180 degrees

• Multiply it by 2