Exterior Angles and Triangle Properties

This video tutorial covers the properties of interior and exterior angles of triangles. It explains how to use equations to find missing angle measures and solve real-life problems. The tutorial demonstrates solving for interior angles using examples and explains the concept of exterior angles, showing how they relate to non-adjacent interior angles. The video concludes with an application of these concepts to the Bermuda Triangle, illustrating how to calculate the measure of an interior angle at Miami.

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

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

If two angles of a triangle are 32 degrees and 48 degrees, what is the measure of the third angle?

• 90 degrees

• 80 degrees

• 100 degrees

• 60 degrees

In a triangle with angles x, x+28, and 90 degrees, what is the value of x?

• 31 degrees

• 45 degrees

• 28 degrees

• 60 degrees

What is the relationship between an exterior angle and the non-adjacent interior angles of a triangle?

• The exterior angle is equal to the sum of the non-adjacent interior angles.

• The exterior angle is equal to the difference of the non-adjacent interior angles.

• The exterior angle is half the sum of the non-adjacent interior angles.

• The exterior angle is twice the sum of the non-adjacent interior angles.

If an exterior angle of a triangle is 108 degrees, what is the sum of the two non-adjacent interior angles?

• 180 degrees

• 108 degrees

• 72 degrees

• 90 degrees

In a triangle, if the exterior angle is 2a and the non-adjacent interior angles are 80 and a-5, what is the value of a?

• 75

• 80

• 85

• 90

How do you find the measure of an exterior angle in a triangle?

• By subtracting the two non-adjacent interior angles.

• By adding the two non-adjacent interior angles.

• By adding the two adjacent interior angles.

• By subtracting the two adjacent interior angles.

What is the measure of an exterior angle if the non-adjacent interior angles are 36 and 72 degrees?

• 108 degrees

• 90 degrees

• 72 degrees

• 180 degrees

An airplane travels around a triangle with angles x, 62.8, and 2x-44.8. What is the measure of angle x?

• 54 degrees

• 62 degrees

• 72 degrees

• 44 degrees

What is the measure of the interior angle at Miami if the other two angles are 62.8 and 2x-44.8?

• 44 degrees

• 72 degrees

• 62 degrees

• 54 degrees