Exterior Angles and Their Relationships

The video tutorial explains the concept of exterior angles in triangles, showing how to extend a side to form an exterior angle and how it relates to the interior opposite angles. It provides examples to illustrate that the exterior angle equals the sum of the interior opposite angles and is greater than each of them. The tutorial also covers the linear pair relationship between the exterior angle and its adjacent interior angle, and includes problem-solving exercises to reinforce understanding.

What is the first step to find an exterior angle of a triangle?

• Measure all interior angles

• Calculate the area of the triangle

• Extend any side of the triangle

• Find the midpoint of a side

If angle D is an exterior angle, which of the following is true?

• D is equal to the sum of its interior opposite angles

• D is equal to the sum of its interior adjacent angles

• D is equal to the difference of its interior opposite angles

• D is equal to the product of its interior opposite angles

What is the relationship between an exterior angle and its interior opposite angles?

• The exterior angle is the sum of its interior opposite angles

• The exterior angle is the difference of its interior opposite angles

• The exterior angle is the quotient of its interior opposite angles

• The exterior angle is the product of its interior opposite angles

If angle D is an exterior angle, which of the following is true?

• D is equal to the difference of its interior opposite angles

• D is equal to the product of its interior opposite angles

• D is equal to the sum of its interior opposite angles

• D is equal to the sum of its interior adjacent angles

What is the relationship between an exterior angle and its interior opposite angles?

• The exterior angle is the sum of its interior opposite angles

• The exterior angle is the difference of its interior opposite angles

• The exterior angle is the product of its interior opposite angles

• The exterior angle is the quotient of its interior opposite angles

In the example problem, if the exterior angle is 130° and one interior opposite angle is 55°, what is the other interior opposite angle?

• 75°

• 65°

• 85°

• 95°

Which statement is true about the exterior angle compared to its interior angles?

• The exterior angle is always equal to each interior angle

• The exterior angle is always the same as the interior adjacent angle

• The exterior angle is always less than each interior angle

• The exterior angle is always greater than each interior angle

What is the sum of an exterior angle and its interior adjacent angle?

• 360°

• 270°

• 180°

• 90°

Which of the following is true about the sum of an exterior angle and its interior adjacent angle?

• It is always 360°

• It is always 90°

• It is always 270°

• It is always 180°

What is the sum of the measures of an exterior angle and its interior adjacent angle?

• 360°

• 270°

• 180°

• 90°