Understanding Exterior Angles of a Triangle

The video tutorial explains the concept of exterior angles in a triangle, which are equal to the sum of the two remote interior angles. It provides examples to demonstrate how to calculate missing angles using this relationship. The tutorial also covers supplementary angles and checks calculations to ensure the sum of interior angles equals 180 degrees. The video concludes by summarizing the method and encouraging viewers to subscribe for more content.

What is the relationship between an exterior angle and its remote interior angles in a triangle?

• The exterior angle is twice the sum of the remote interior angles.

• The exterior angle is equal to the difference of the remote interior angles.

• The exterior angle is equal to the sum of the remote interior angles.

• The exterior angle is half the sum of the remote interior angles.

In a triangle, if angle 1 is the exterior angle, which angles are considered its remote interior angles?

• The angles adjacent to angle 1.

• The angles opposite to angle 1.

• The two angles inside the triangle that are furthest from angle 1.

• The two angles inside the triangle that are closest to angle 1.

If the measure of angle 2 is 90 degrees and angle 3 is 40 degrees, what is the measure of the exterior angle 4?

• 90 degrees

• 130 degrees

• 50 degrees

• 180 degrees

How do you find the measure of angle 1 if it is supplementary to angle 4, which measures 130 degrees?

• Subtract 130 from 90

• Add 130 to 90

• Add 130 to 180

• Subtract 130 from 180

In the second example, if angle 4 is 140 degrees and angle 2 is 68 degrees, what is the measure of angle 3?

• 40 degrees

• 68 degrees

• 112 degrees

• 72 degrees

What is the measure of angle 1 if it is supplementary to angle 4, which measures 140 degrees?

• 68 degrees

• 50 degrees

• 40 degrees

• 72 degrees

If angle 5 is supplementary to angle 2, which measures 68 degrees, what is the measure of angle 5?

• 112 degrees

• 140 degrees

• 68 degrees

• 72 degrees

What is the sum of the interior angles of a triangle?

• 270 degrees

• 90 degrees

• 180 degrees

• 360 degrees

Which of the following statements is true about the exterior angle of a triangle?

• It is always greater than any of the interior angles.

• It is equal to the sum of the two adjacent interior angles.

• It is equal to the sum of the two remote interior angles.

• It is always less than any of the interior angles.

What should you do if you want to find a missing angle in a triangle using the exterior angle theorem?

• Subtract the two remote interior angles.

• Add the two remote interior angles.

• Subtract the exterior angle from 180 degrees.

• Add the exterior angle to the adjacent interior angle.