Angle Relationships and Triangle Measures

The video tutorial demonstrates how to find missing angles in triangles using the triangle angle sum theorem, which states that the sum of angles in a triangle is 180 degrees. The instructor explains the process of calculating missing angles by applying this theorem and explores angle relationships such as vertical angles and linear pairs. The tutorial concludes with solving for the final missing angle, reinforcing the concepts discussed.

What is the sum of all angles in a triangle?

• 270 degrees

• 90 degrees

• 360 degrees

• 180 degrees

If two angles in a triangle are 75 degrees and 35 degrees, what is the measure of the third angle?

• 100 degrees

• 90 degrees

• 80 degrees

• 70 degrees

What is the measure of angle 1 if the other two angles are 75 degrees and 35 degrees?

• 80 degrees

• 85 degrees

• 75 degrees

• 70 degrees

What is a vertical angle?

• Angles that share a vertex but not sides

• Angles that share a side

• Angles that are adjacent

• Angles that are supplementary

If angle 3 is a vertical angle to a 30-degree angle, what is the measure of angle 3?

• 30 degrees

• 60 degrees

• 90 degrees

• 120 degrees

What is a linear pair?

• Two angles that are complementary

• Two angles that are equal

• Two angles that add up to 90 degrees

• Two angles that add up to 180 degrees

If one angle of a linear pair is 70 degrees, what is the measure of the other angle?

• 110 degrees

• 100 degrees

• 80 degrees

• 90 degrees

How do you find the measure of angle 2 if angle 1 is 70 degrees in a linear pair?

• Divide 70 by 2

• Add 70 to 180

• Subtract 70 from 180

• Multiply 70 by 2

What is the measure of angle 2 if angle 1 is 70 degrees?

• 110 degrees

• 120 degrees

• 140 degrees

• 130 degrees

What is the first step in finding the last missing angle using the Triangle Angle Sum Theorem?

• Multiply known angles

• Subtract known angles from 180

• Divide known angles

• Add all known angles