Exploring the Triangle Sum Theorem

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

• 90 degrees

• 180 degrees

• 270 degrees

• 360 degrees

How can the Triangle Sum Theorem be practically demonstrated?

• Cutting angles from a paper triangle

• Measuring with a ruler

• Using a protractor

• Drawing angles with a compass

What is the sum of the angles in any triangle, as demonstrated in the video?

• Variable

• Always less than 180 degrees

• Exactly 180 degrees

• Always more than 180 degrees

If one angle in a triangle is 85 degrees and another is 63 degrees, what is the third angle?

• 32 degrees

• 42 degrees

• 37 degrees

• 45 degrees

What is the value of a right angle?

• 45 degrees

• 90 degrees

• 180 degrees

• 100 degrees

In a triangle with angles 2x, 3x + 5, and 90 degrees, what is the value of x?

• 17

• 21

• 19

• 15

If the angles in a triangle are 61 degrees, a right angle, and one unknown angle, what is the measure of the unknown angle?

• 29 degrees

• 39 degrees

• 49 degrees

• 19 degrees

In a triangle problem involving algebra, if the sum of angles is given by 6x + 4x + 90 = 180, what is the value of x?

• 10

• 20

• 5

• 15

For a triangle with angles described as 4x + 9, 6x + 1, and 80 degrees, what is the value of x?

• 7

• 8

• 10

• 9

Using the value of x found from the previous question, what is the measure of the angle described as 4x + 9?

• 35 degrees

• 36 degrees

• 45 degrees

• 46 degrees