Exploring Triangle Angle Sum Theorems

This video tutorial covers the properties of triangles, including how to classify them by their sides and angles. It explains the concepts of scalene, isosceles, and equilateral triangles, as well as acute, right, and obtuse triangles. The video also demonstrates how to solve problems involving triangle angle measurements using algebra and properties like linear pairs and vertical angles. Additionally, it introduces the concept of exterior angles and their relationship with remote interior angles.

How are triangles classified based on their sides?

• Simple, Complex, Compound

• Convex, Concave, Regular

• Scalene, Isosceles, Equilateral

• Acute, Right, Obtuse

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

• 90 degrees

• 360 degrees

• 180 degrees

• 270 degrees

In an equilateral triangle, what is the measure of each angle?

• 45 degrees

• 120 degrees

• 60 degrees

• 90 degrees

Which type of triangle has no congruent sides?

• Right

• Scalene

• Equilateral

• Isosceles

If a triangle has two congruent sides, what type of triangle is it?

• Scalene

• Equilateral

• Right

• Isosceles

How do you find the measure of an unknown angle in a triangle if you know the other two angles?

• Divide the two known angles

• Add the two known angles and subtract from 180 degrees

• Add the two known angles and subtract from 360 degrees

• Multiply the two known angles

In a triangle, if one angle is 40 degrees and another is 80 degrees, what is the measure of the third angle?

• 100 degrees

• 40 degrees

• 60 degrees

• 80 degrees

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

• 360 degrees

• 90 degrees

• 270 degrees

• 180 degrees

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

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

• The exterior angle is double the sum of the remote interior angles

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

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

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

• 90 degrees

• 50 degrees

• 70 degrees

• 30 degrees