Triangle Angle Relationships and Properties

The video tutorial explains the Third Angle Theorem, which states that if two angles in one triangle are congruent to two angles in another triangle, the third angles must also be congruent. The teacher reviews the sum of angles in a triangle, discusses congruent angles, and provides examples to illustrate the theorem. The video emphasizes understanding congruent angles and their applications in solving geometric problems.

What is the primary focus of the Third Angle Theorem?

• The area of a triangle

• The relationship between sides of a triangle

• The sum of angles in a polygon

• The congruence of angles in two triangles

What is the sum of all angles in a triangle?

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

What is the sum of angles in any polygon?

• Depends on the number of sides

• Always 360 degrees

• Always 180 degrees

• Always 540 degrees

What is the sum of angles in a quadrilateral?

• 180 degrees

• 270 degrees

• 360 degrees

• 450 degrees

If two angles in one triangle are congruent to two angles in another triangle, what can be said about the third angle?

• It is congruent

• It is larger

• It is smaller

• It is unrelated

Which theorem states that if two angles of one triangle are congruent to two angles of another triangle, the third angles are also congruent?

• Pythagorean Theorem

• Third Angle Theorem

• Angle Sum Theorem

• Congruent Angle Theorem

In the example given, if one angle is 60° and another is 80°, what is the measure of the third angle?

• 30 degrees

• 40 degrees

• 50 degrees

• 60 degrees

If two angles of a triangle are 70° and 50°, what is the third angle?

• 70 degrees

• 80 degrees

• 60 degrees

• 90 degrees

What is the measure of the third angle if two angles in a triangle are 45° and 45°?

• 120 degrees

• 45 degrees

• 60 degrees

• 90 degrees

Which type of triangle has all angles equal?

• Right triangle

• Obtuse triangle

• Equilateral triangle

• Scalene triangle