Angles: Vertical, Complementary, and Supplementary

The video tutorial covers the concepts of vertical, supplementary, and complementary angles. It explains how vertical angles are equal and formed by intersecting lines. Supplementary angles add up to 180 degrees, while complementary angles add up to 90 degrees. The tutorial includes problem-solving exercises to apply these concepts, emphasizing the use of diagrams and algebraic equations to find unknown angles. The lesson concludes with a summary of key definitions and encourages further practice.

What is the defining characteristic of vertical angles?

• They are angles that add up to 90 degrees.

• They are angles that add up to 180 degrees.

• They are adjacent angles.

• They are opposite angles formed by intersecting lines.

Which of the following is true about supplementary angles?

• They add up to 180 degrees.

• They add up to 90 degrees.

• They are formed by parallel lines.

• They are always equal.

Complementary angles add up to:

• 45 degrees

• 90 degrees

• 180 degrees

• 360 degrees

In a diagram, if angle AEB is 120 degrees, what is the measure of its vertical angle DEC?

• 60 degrees

• 240 degrees

• 120 degrees

• 180 degrees

If two angles are supplementary and one angle measures 70 degrees, what is the measure of the other angle?

• 180 degrees

• 90 degrees

• 110 degrees

• 20 degrees

Which of the following pairs of angles are complementary?

• 30 degrees and 60 degrees

• 90 degrees and 90 degrees

• 60 degrees and 120 degrees

• 45 degrees and 45 degrees

What is the measure of an angle that is supplementary to a 135-degree angle?

• 45 degrees

• 90 degrees

• 180 degrees

• 135 degrees

If angle X and angle Y are vertical angles and angle X measures 75 degrees, what is the measure of angle Y?

• 150 degrees

• 15 degrees

• 105 degrees

• 75 degrees

Which of the following statements is true about angle bisectors?

• They divide an angle into two equal parts.

• They are always perpendicular to the angle.

• They add up to 180 degrees.

• They are formed by parallel lines.

In a right triangle, if one angle is 30 degrees, what is the measure of the other non-right angle?

• 60 degrees

• 90 degrees

• 45 degrees

• 30 degrees