Angle Sums in Triangles: Understanding and Calculating Missing Angles

The video tutorial explains the properties of triangles, focusing on the sum of interior angles equaling 180 degrees. It demonstrates how to calculate missing angles when given some angles of a triangle. The concept of exterior angles is introduced, showing that an exterior angle equals the sum of the two opposite interior angles. The tutorial concludes with a summary of these key points.

What is the sum of the internal angles of any triangle?

• 90 degrees

• 180 degrees

• 360 degrees

• 270 degrees

If a triangle has angles of 50 degrees and 60 degrees, what is the measure of the third angle?

• 70 degrees

• 80 degrees

• 100 degrees

• 90 degrees

In a triangle, if two angles are 45 degrees and 85 degrees, what is the third angle?

• 50 degrees

• 65 degrees

• 55 degrees

• 60 degrees

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

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

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

• The exterior angle is equal to the difference between the two adjacent interior angles.

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

If an exterior angle of a triangle is 120 degrees, and one of the opposite interior angles is 50 degrees, what is the other opposite interior angle?

• 80 degrees

• 90 degrees

• 70 degrees

• 60 degrees

Which of the following statements is true about the angles in a triangle?

• The sum of the angles is always 360 degrees.

• The sum of the angles is always 270 degrees.

• The sum of the angles is always 180 degrees.

• The sum of the angles is always 90 degrees.

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

• By subtracting the two adjacent interior angles.

• By adding the two non-adjacent interior angles.

• By adding the two adjacent interior angles.

• By subtracting the two non-adjacent interior angles.