Exterior Angles and Interior Angles

The video tutorial explains the exterior angle theorem for triangles, stating that the exterior angle equals the sum of the two remote interior angles. It demonstrates how to apply this theorem to find unknown angles by subtracting known angles and verifies calculations by ensuring the sum of the interior angles equals the exterior angle. The tutorial also covers different scenarios where either the exterior or interior angles are known, providing a comprehensive understanding of the theorem's application.

What is the rule for the exterior angle of a triangle?

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

• It is equal to the sum of all three interior angles.

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

• It is equal to the difference between the two remote interior angles.

What is the relationship between the exterior angle and the two remote interior angles?

• The exterior angle is the average of the two remote interior angles.

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

• The exterior angle is the difference between the two remote interior angles.

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

In a triangle, if the exterior angle is 120 degrees, what is the sum of the two remote interior angles?

• 90 degrees

• 180 degrees

• 60 degrees

• 120 degrees

If the exterior angle of a triangle is 104 degrees and one of the remote interior angles is 33 degrees, what is the other remote interior angle?

• 33 degrees

• 137 degrees

• 104 degrees

• 71 degrees

If the exterior angle is 137 degrees and one remote interior angle is 33 degrees, what is the other remote interior angle?

• 71 degrees

• 33 degrees

• 137 degrees

• 104 degrees

If the exterior angle is 150 degrees and one remote interior angle is 70 degrees, what is the other remote interior angle?

• 80 degrees

• 150 degrees

• 100 degrees

• 70 degrees

If the exterior angle is 110 degrees and one remote interior angle is 45 degrees, what is the other remote interior angle?

• 55 degrees

• 45 degrees

• 110 degrees

• 65 degrees

If the exterior angle is 130 degrees and one remote interior angle is 50 degrees, what is the other remote interior angle?

• 130 degrees

• 100 degrees

• 50 degrees

• 80 degrees

If the exterior angle is 145 degrees and one remote interior angle is 60 degrees, what is the other remote interior angle?

• 95 degrees

• 60 degrees

• 145 degrees

• 85 degrees

How can you verify the exterior angle rule?

• By checking if the exterior angle is equal to the difference of the two remote interior angles.

• By checking if the exterior angle is equal to the sum of the two remote interior angles.

• By checking if the exterior angle is equal to the sum of all angles in the triangle.

• By checking if the exterior angle is equal to the sum of the two adjacent angles.