Exploring the Triangle Angle Sum Theorem

The video tutorial covers the Triangle Angle Sum Theorem, explaining that the sum of angles in a triangle is always 180°. It provides multiple examples to demonstrate how to find a missing angle using this theorem. The tutorial includes step-by-step solutions and encourages viewers to pause and solve problems independently. It also introduces the concept of the Exterior Angle Theorem, which will be covered in a subsequent lesson.

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

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

If a triangle has angles of 60 degrees and 70 degrees, what is the measure of the third angle?

• 80 degrees

• 70 degrees

• 60 degrees

• 50 degrees

In a triangle, if one angle is 90 degrees and another is 45 degrees, what is the measure of the third angle?

• 45 degrees

• 60 degrees

• 30 degrees

• 35 degrees

Given a triangle with angles 54 degrees, 54 degrees, and x degrees, what is the value of x?

• 126 degrees

• 108 degrees

• 72 degrees

• 54 degrees

If a triangle has angles of 48 degrees and 90 degrees, what is the measure of the third angle?

• 62 degrees

• 52 degrees

• 42 degrees

• 32 degrees

In a triangle, if one angle is 90 degrees and another is 65 degrees, what is the measure of the third angle?

• 45 degrees

• 25 degrees

• 15 degrees

• 35 degrees

If a triangle has angles of 53 degrees and 47 degrees, what is the measure of the third angle?

• 80 degrees

• 100 degrees

• 90 degrees

• 70 degrees

What is the measure of angle y if it forms a straight line with an 80-degree angle?

• 110 degrees

• 100 degrees

• 90 degrees

• 80 degrees

If a triangle has angles of 100 degrees and 49 degrees, what is the measure of the third angle?

• 21 degrees

• 51 degrees

• 31 degrees

• 41 degrees

According to the Exterior Angle Theorem, the exterior angle of a triangle is equal to the sum of which angles?

• The two largest interior angles

• The two smallest interior angles

• The two farthest interior angles

• The two adjacent interior angles