Angle Relationships and Parallel Lines Explained

The video tutorial reviews various angle relationships, including vertical, complementary, and supplementary angles. It explains how to solve for unknown variables using these relationships. The tutorial also covers angles formed by parallel lines and a transversal, such as alternate interior, alternate exterior, and corresponding angles. Practical applications and problem-solving techniques are demonstrated, emphasizing the use of equations to find angle measures.

What is the relationship between vertical angles?

• They are supplementary.

• They are adjacent.

• They are complementary.

• They are congruent.

If two angles are complementary, what is their sum?

• 180 degrees

• 45 degrees

• 90 degrees

• 360 degrees

What is the sum of supplementary angles?

• 45 degrees

• 360 degrees

• 180 degrees

• 90 degrees

What do we call a line that intersects two parallel lines?

• Perpendicular

• Bisector

• Transversal

• Median

Which of the following is an example of alternate interior angles?

• Angle 3 and Angle 5

• Angle 4 and Angle 8

• Angle 2 and Angle 8

• Angle 1 and Angle 5

Which angles are on the same side of the transversal and are congruent?

• Vertical angles

• Alternate interior angles

• Alternate exterior angles

• Corresponding angles

What is the measure of angle 2 if angle 1 is 135 degrees and they are supplementary?

• 90 degrees

• 135 degrees

• 45 degrees

• 180 degrees

If angle 1 is 135 degrees, which of the following angles is also 135 degrees?

• Angle 2

• Angle 6

• Angle 4

• Angle 5

If an angle in a triangle is 120 degrees, what is the measure of the other two angles if one of them is 40 degrees?

• 20 degrees

• 40 degrees

• 60 degrees

• 80 degrees

Given parallel lines cut by a transversal, if one alternate interior angle is 75 degrees, what is the measure of the other alternate interior angle?

• 90 degrees

• 105 degrees

• 75 degrees

• 180 degrees