Exploring Triangle Angle-Sum and Exterior Angles Theorems

The video tutorial covers the triangle angle sum theorem and the exterior angle theorem. It explains how to identify vertical angles and use these theorems to find missing angles in triangles. The tutorial includes examples and step-by-step solutions, emphasizing the connection between interior and exterior angles. It also discusses classifying triangles based on angles and sides, reinforcing concepts from previous lessons.

What is the first step in solving problems using the Triangle Angle Sum Theorem?

• Identify the exterior angles

• Identify the vertical angles

• Find the congruent angles

• Calculate the sum of all angles

Vertical angles are always:

• Supplementary

• Equal

• Complementary

• Different

If angle A is 66 degrees and angle B is 58 degrees in a triangle, what is angle C?

• 180 degrees

• 66 degrees

• 58 degrees

• 56 degrees

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

• 270 degrees

• 360 degrees

• 180 degrees

• 90 degrees

Which angles are used to find the measure of an exterior angle?

• Supplementary angles

• Adjacent interior angles

• Remote interior angles

• Vertical angles

If the exterior angle is 115 degrees and one remote interior angle is 50 degrees, what is the other remote interior angle?

• 180 degrees

• 115 degrees

• 50 degrees

• 65 degrees

What type of triangle has all three angles less than 90 degrees?

• Right triangle

• Acute triangle

• Scalene triangle

• Obtuse triangle

If two angles in a triangle are congruent, what type of triangle is it?

• Scalene

• Isosceles

• Equilateral

• Right

What is the measure of angle B if angle A is 40 degrees and the exterior angle is 105 degrees?

• 40 degrees

• 105 degrees

• 75 degrees

• 65 degrees

Which angles are considered when classifying a triangle by its sides?

• Interior angles

• All angles

• Exterior angles

• Base angles