Exploring Interior Angles of Triangles

The video tutorial explains the concept of interior angles in triangles, emphasizing that their sum is always 180 degrees. It provides step-by-step examples to solve for unknown angles using equations, including scenarios with right triangles and the use of variables. The tutorial concludes with a practice problem for students to solve independently.

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

• 180 degrees

• 90 degrees

• 270 degrees

• 360 degrees

If one angle in a triangle is 75 degrees and another is 50 degrees, what is the measure of the third angle?

• 75 degrees

• 45 degrees

• 65 degrees

• 55 degrees

In a right triangle, if one angle is 25 degrees, what is the measure of the other non-right angle?

• 85 degrees

• 55 degrees

• 65 degrees

• 75 degrees

What does the little box in the corner of a triangle represent?

• An angle of 120 degrees

• An angle of 90 degrees

• An angle of 60 degrees

• An angle of 45 degrees

If a triangle has angles of 87 degrees and 48 degrees, what is the measure of the third angle?

• 65 degrees

• 55 degrees

• 45 degrees

• 35 degrees

In Example 3, what variable can be used for the unknown angle?

• Any variable

• Only Z

• Only Y

• Only X

If a triangle has angles of 55 degrees and 115 degrees, what is the measure of the third angle?

• 10 degrees

• 15 degrees

• 25 degrees

• 35 degrees

What is the first step in solving for an unknown angle in a triangle?

• Subtract the known angles from 180

• Add the known angles

• Multiply the known angles

• Divide the known angles

What should you do if the sum of the angles does not equal 180 degrees?

• Multiply the angles again

• Recheck the equation

• Subtract the angles again

• Add the angles again

What label should be used for angle measurements?

• Gradians

• Turns

• Degrees

• Radians