Triangle Angles and Classification

The video tutorial explains how to find angles in triangles using the Triangle Angle Sum Theorem. It provides two examples where algebraic expressions are used to determine the measures of angles in given triangles. The tutorial also covers classifying triangles based on their angles, such as acute, right, and obtuse triangles.

What is the sum of the angles in any triangle?

• 90 degrees

• 180 degrees

• 360 degrees

• 270 degrees

In the first example, what expression represents angle A?

• X - 20

• 2X + 5

• 3X - 55

• X + 20

What is the first step in solving for X in Triangle ABC?

• Use the Triangle Angle Sum Theorem

• Find the measure of angle A

• Classify the triangle

• Subtract angles

What is the value of X in Triangle ABC?

• 30

• 45

• 40

• 35

What is the measure of angle A in Triangle ABC?

• 65 degrees

• 60 degrees

• 55 degrees

• 50 degrees

How is Triangle ABC classified based on its angles?

• Right triangle

• Equilateral triangle

• Obtuse triangle

• Acute triangle

What is the expression for angle C in the second example?

• 2X + 5

• X + 67

• 3X - 55

• X + 75

What is the value of X in the second example?

• 1

• 0

• -1

• 2

What is the measure of angle B in the second example?

• 30 degrees

• 40 degrees

• 60 degrees

• 50 degrees

How is the second triangle classified based on its angles?

• Obtuse triangle

• Equilateral triangle

• Right triangle

• Acute triangle