Exploring Exterior Angle and Triangle Sum Theorems

The video tutorial focuses on the properties of triangles, specifically the Triangle Sum Theorem and the Exterior Angle Theorem. The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees, regardless of the type of triangle. The Exterior Angle Theorem explains that an exterior angle of a triangle is equal to the sum of the two remote interior angles. The tutorial includes examples of solving problems using these theorems, demonstrating how to calculate unknown angles in various triangle scenarios.

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

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

Which of the following is NOT a type of triangle?

• Circular

• Right

• Acute

• Obtuse

What does the Exterior Angle Theorem state?

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

• An exterior angle is equal to the sum of the two adjacent interior angles.

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

• An exterior angle is equal to the product of the two remote interior angles.

In the Exterior Angle Theorem, what does 'remote interior angles' refer to?

• The angles adjacent to the exterior angle.

• The angles opposite to the exterior angle.

• The angles outside the triangle.

• The angles inside the triangle.

If an exterior angle of a triangle is 120 degrees and one of the remote interior angles is 50 degrees, what is the measure of the other remote interior angle?

• 90 degrees

• 80 degrees

• 70 degrees

• 60 degrees

In a triangle, if the exterior angle is represented by 8 + 6x and the remote interior angles are 30 + 4x and 2, what is the value of x?

• 13

• 12

• 11

• 10

What is the first step in solving a multi-step equation involving exterior and remote interior angles?

• Divide by coefficients

• Subtract constants

• Combine like terms

• Add variables

If the sum of the two remote interior angles is 11x + 8 and the exterior angle is 12, what is the value of x?

• 10

• 13

• 11

• 12

What is the measure of an exterior angle if the remote interior angles are 40 degrees and 50 degrees?

• 100 degrees

• 90 degrees

• 80 degrees

• 110 degrees

What did we learn about the sum of the interior angles of a triangle?

• They always add up to 360 degrees.

• They always add up to 180 degrees.

• They always add up to 270 degrees.

• They always add up to 90 degrees.