SOL Objective(s):
8.6 The student will
 a) verify by measuring and describe the relationships among vertical angles, adjacent angles, supplementary angles, and complementary
 angles; and
 b) measure angles of less than 360°.
Previous and Related SOL Objectives: 
Prerequisite Skills:Triangles have a total of 180 degrees interior angles.

Khan Skill Phrases:Name Angles
Measure Angles Draw Angles Draw right, acute, and obtuse Angels Benchmark Angles Identify Parallel and Perpendicular Lines Decompose Angles Complementary and Supplementary Angles Vertical Angles Angle Types Recognize Angles Congruent Angles Parallel Lines Equation Practice with Angle Addition Equation Practice with Vertical Angles Equation Practice with Congruent Angles Finding Angle Measures 1 Finding Angle Measures 2 
The Basics and Background Information:
 Adjacent angles are any two nonoverlapping angles that share a common side and a common vertex.
 Complementary angles are any two angles such that the sum of their measures is 90°.
 Vertical angles are (all nonadjacent angles) formed by two intersecting lines. Vertical angles are congruent and share a common vertex.
 Supplementary angles are any two angles such that the sum of their measures is 180°.
 Reflex angles measure more than 180°.
Essential Knowledge and Skills:
The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to
• Measure angles of less than 360° to the nearest degree, using appropriate tools.
• Identify and describe the relationships between angles formed by two intersecting lines.
• Identify and describe the relationship between pairs of angles that are vertical.
• Identify and describe the relationship between pairs of angles that are supplementary.
• Identify and describe the relationship between pairs of angles that are complementary.
• Identify and describe the relationship between pairs of angles that are adjacent.
• Use the relationships among supplementary, complementary, vertical, and adjacent angles to solve practical problems.
• Measure angles of less than 360° to the nearest degree, using appropriate tools.
• Identify and describe the relationships between angles formed by two intersecting lines.
• Identify and describe the relationship between pairs of angles that are vertical.
• Identify and describe the relationship between pairs of angles that are supplementary.
• Identify and describe the relationship between pairs of angles that are complementary.
• Identify and describe the relationship between pairs of angles that are adjacent.
• Use the relationships among supplementary, complementary, vertical, and adjacent angles to solve practical problems.
Vocabulary and Things to Know:

Be Able to:

Note:
The textbook does NOT offer instruction on how to use a protractor, but we will cover that in class. Viewing videos on how to use the protractor will offer good information.
Measuring an AngleClear information on how to use a protractor to measure an angle.


How to use a ProtractorThis video demonstrates how to use a protractor.


The Angle on AnglesBasic information on kinds of angles, how to name angles, and how to measure using a protractor.


Angle BasicsThis video is more background information, BUT great for reviewing vocabulary and for basics of angle pairs.


AAAMathDefinitions are given and practice identifying whether angle measurements are complementary, supplementary, or neither is included.

Algebra Lab: Making ConnectionsDefinitions, a lesson, examples, and practice items are presented in this web page.

Virtual NerdThis website contains videos on how to use supplementary angles to find unknown angles. At the bottom of the webpage, there is also a video on using complementary angles. In addition to videos on using supplementary and complementary angles, there are other background tutorials via video on several topics: solving equations, angle basics, evaluating expressions, etc.

Intermediate Test PrepThis site provides practice problems and will not only show you answers, but shows work that gets to the answer.

These are links that really go with another topic, but I didn't want to lose them. :)

Special AnglesInformation with regard to special angles with illustrations and equations.


Complementary, Supplementary, and Vertical Angles and problems to solveExamples include problems involving angle measurements and use of equations to solve.


Complementary and Supplementary AnglesKhan Academy video.


Angle GameThis video is another Khan Academy video that will walk you through using angles to determine other angles.


Angle Game: Part IIMore angle practice with Khan Academy.

