Exploring Interior and Exterior Angles of a Triangle

The video tutorial covers the concepts of interior and exterior angles in triangles. It explains that the sum of interior angles in a triangle is always 180 degrees and demonstrates how to calculate unknown angles using algebra. The tutorial also introduces exterior angles, showing that they are equal to the sum of the two non-adjacent interior angles. The video provides examples and encourages viewers to apply these concepts to solve problems.

How many interior angles does a triangle have?

• 5

• 4

• 3

• 2

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

• 360 degrees

• 270 degrees

• 180 degrees

• 90 degrees

If one angle in a triangle is 38 degrees and another is 70 degrees, what is the third angle?

• 92 degrees

• 102 degrees

• 82 degrees

• 72 degrees

What property is used to solve for an unknown angle when two angles are known?

• Subtraction property of equality

• Addition property of equality

• Multiplication property of equality

• Division property of equality

What does an exterior angle of a triangle equal according to the exterior angle theorem?

• Twice the opposite interior angle

• Sum of the two non-adjacent interior angles

• Difference between two interior angles

• Sum of the two adjacent interior angles

If an exterior angle is 123 degrees and one non-adjacent interior angle is 45 degrees, what is the other non-adjacent interior angle?

• 108 degrees

• 98 degrees

• 78 degrees

• 88 degrees

In a triangle with angles x and y, if x is 50 degrees and the exterior angle formed is 130 degrees, what is y?

• 30 degrees

• 40 degrees

• 80 degrees

• 90 degrees

What is the value of angle a if 2a and a-5 are part of the angles that sum up to 150 degrees?

• 85 degrees

• 55 degrees

• 75 degrees

• 65 degrees

If angle Z equals 123 degrees and is the exterior angle, and angle X is 23 degrees, what is angle Y?

• 120 degrees

• 130 degrees

• 110 degrees

• 100 degrees

What algebraic method is used to solve for angle a when given 2a and a-5?

• Multiplication and division

• Only addition

• Addition and subtraction

• Only subtraction