Triangle Angles and Theorems

The teacher introduces the topic of inequalities in triangles, engaging students with humor and interaction. The lesson covers angle calculations, the exterior angle theorem, and practice problems. Students learn to identify angles less than a given angle and apply the exterior angle theorem. The session concludes with a review of key concepts.

What is the main topic introduced in the class?

• Algebraic equations

• Calculus

• Inequalities in triangles

• Statistics

What was the teacher's stance on assigning homework?

• No homework will be assigned

• Homework is optional

• Homework is mandatory

• Homework is only for extra credit

What concept is introduced related to triangles?

• Interior angles

• Exterior angles

• Parallel lines

• Perpendicular bisectors

How do you calculate a missing angle in a triangle?

• Divide the sum of known angles by 2

• Multiply the known angles

• Subtract the sum of known angles from 180 degrees

• Add all angles to get 360 degrees

What does the exterior angle theorem state?

• An exterior angle is equal to the sum of all interior angles

• An exterior angle is equal to the adjacent interior angle

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

• An exterior angle is half the sum of the interior angles

In the practice problem, which angles are equal to the exterior angle?

• Angles 1 and 2

• Angles 4 and 5

• Angles 2 and 3

• Angles 3 and 4

Which angles are less than the given exterior angle?

• All angles

• Only the adjacent angle

• The two non-adjacent interior angles

• None of the angles

What is the relationship between angles in a triangle?

• They are always equal

• They always sum up to 180 degrees

• They are always different

• They always sum up to 360 degrees