Exploring the Triangle Sum Theorem

The video tutorial explains the triangle sum theorem, which states that the sum of the interior angles of a triangle is 180 degrees. The teacher demonstrates how to solve for an unknown angle, x, by setting up a simple equation with the given angles 65 and 35 degrees. By adding these angles and subtracting from 180, the value of x is found to be 80 degrees.

What does the Triangle Sum Theorem state?

• The sum of the interior angles of a triangle is 90 degrees.

• The sum of the interior angles of a triangle is 270 degrees.

• The sum of the interior angles of a triangle is 360 degrees.

• The sum of the interior angles of a triangle is 180 degrees.

In the given example, what are the known angles of the triangle?

• 70 and 30 degrees

• 65 and 35 degrees

• 60 and 40 degrees

• 45 and 55 degrees

What equation is set up to solve for x in the example problem?

• 65 + 35 + x = 180

• 65 + 35 + x = 360

• 65 + 35 + x = 90

• 65 + 35 + x = 270

What is the sum of 65 and 35 in the example problem?

• 100

• 110

• 120

• 90

What is the value of x in the example problem?

• 85 degrees

• 80 degrees

• 75 degrees

• 70 degrees