Vertical and Complementary Angles Concepts

The video tutorial reviews key concepts from Chapter 3, focusing on adjacent and vertical angles, and complementary and supplementary angles. It explains how to identify these angles and solve for unknown variables using equations. The tutorial also provides strategies for remembering the differences between complementary and supplementary angles.

What is the main focus of the Chapter 3 review?

• Circles and ellipses

• Adjacent and vertical angles

• Triangles and quadrilaterals

• Parallel and perpendicular lines

What do adjacent angles share?

• A common vertex and a common side

• A common vertex but no common side

• No common vertex or side

• A common side but no common vertex

What is a key property of vertical angles?

• They are complementary

• They are supplementary

• They are congruent

• They are always right angles

If two angles are vertical and one is 50 degrees, what is the measure of the other angle?

• 60 degrees

• 40 degrees

• 70 degrees

• 50 degrees

In the example problem, what is the value of x if the angles are vertical and one angle is x + 8?

• 112

• 108

• 116

• 120

What is the sum of two adjacent angles that are complementary?

• 360 degrees

• 270 degrees

• 180 degrees

• 90 degrees

What is the sum of two angles that are supplementary?

• 90 degrees

• 360 degrees

• 270 degrees

• 180 degrees

Which comes first in the alphabet, helping to remember complementary angles?

• S

• C

• T

• A

If two angles are complementary and one is x - 8, what is the equation to find x?

• x + 8 + 20 = 180

• x - 8 + 20 = 90

• x + 8 + 20 = 90

• x - 8 + 20 = 180

In the example problem, what is the value of x if the angles are complementary and one angle is x - 8?

• 84

• 78

• 80

• 82