Exploring Triangle Angle Relationships and Equations

The video tutorial explains the relationships between interior and exterior angles in triangles. It demonstrates how to set up and solve equations to find missing angle values using algebraic expressions. The tutorial includes examples of solving for unknown angles in both interior and exterior angle scenarios, emphasizing the use of algebraic techniques to simplify and solve multi-step equations.

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

• 90°

• 270°

• 180°

• 360°

If angle 1 and angle 2 are known, how can you find the exterior angle?

• Subtract angle 1 from 180°

• Add angle 1 and angle 2

• Subtract angle 2 from 180°

• Add angle 1 and angle 3

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

• They are supplementary

• They are complementary

• They are equal

• They are congruent

In a triangle, if angle 1 is 54°, angle 2 is 3x + 1, and angle 3 is x - 9, what is the value of x?

• 35.5

• 34.5

• 33.5

• 36.5

If x = 33.5, what is the measure of the angle represented by x - 9?

• 27.5°

• 26.5°

• 25.5°

• 24.5°

Given a triangle with angles 15 + x, 47°, and 18 + 4x, what is the value of x?

• 15

• 20

• 30

• 25

If x = 20, what is the measure of the angle represented by 15 + x?

• 30°

• 35°

• 45°

• 40°

In a triangle, if angle 1 is 12 + 3x, angle 2 is 70°, and the exterior angle is 9x + 4, what is the value of x?

• 11

• 14

• 12

• 13

If x = 13, what is the measure of the exterior angle represented by 9x + 4?

• 122°

• 121°

• 120°

• 123°

If x = 13, what is the measure of the angle represented by 12 + 3x?

• 52°

• 53°

• 51°

• 50°