Course 3 Online!
Henrico County Public Schools, Virginia
Important News: Effective August 15, 2018, this site will be realigning to the 2016 SOL.
As a result, many of the instructional notes, activities, and worksheets will be removed. Please download any files you wish to keep for future use.
8.6 - Angles
Number and Number Sense, Computation and Estimation

Measurement and Geometry

Probability, Statistics, Patterns, Functions, and Algebra

SOL Review Materials
*SOL 8.6b cannot be appropriately assessed within the current format and is excluded from testing.
Focus: Problem Solving

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°. 
Essential Knowledge and Skills 
  • 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.†Revised March 2011
Essential Understandings
  • How are vertical, adjacent, complementary and supplementary angles related? Adjacent angles are any two non-overlapping angles that share a common side and a common vertex. Vertical angles will always be nonadjacent angles. Supplementary and complementary angles may or may not be adjacent.
Vertical Articulation
  1. SOL 6.13 - identify/describe properties of quadrilaterals
  2. SOL 7.7 - compare/contrast quadrilaterals based on properties
Instructional Materials
  1. VDOE Enhanced Scope and Sequence Lesson: What Are Your Angles? (PDF) - Working with angles (Word)
  2. Notes: Angles (doc)
  3. Notes: Lines and Angle Relations (doc)
  4. Notes: Line-Angle Relationships Review (flipchart)
  5. Guided Notes: About Angles (doc)
  6. Activity: Vocabulary Foldable (doc)
  7. VDOE Algebra Readiness Curriculum Companion: Classifying Angles (pdf)
Real World Lessons
  1. Worksheet: Complementary & Supplementary Angles (doc)
  2. Worksheet: Angle Relationships #1 (doc) | Angle Relationships #2 (doc) | Angle Relationships #3 (doc)
  3. Worksheet: Complementary & Supplementary Angles #1 (doc) | Complementary & Supplementary Angles #2 (doc)
  4. Quiz: Angles (doc)
  5. Quiz: Angles (flipchart)
  6. Quiz: Line and Angle Relations (doc)
  1. SOL 8.6 Mini-Quiz: Angles
  1. Virtual Nerd: Complementary Angles Definition
  2. Virtual Nerd: Supplementary Angles Definition
  3. Virtual Nerd: Vertical Angles Definition
Explore Learning
  1. Investigating Angle Theorems - Activity A: Explore the properties of complementary, supplementary, vertical, and adjacent angles using a dynamic figure.
VDOE Interventions
  1. VDOE Algebra Readiness Curriculum Companion: Classifying Angles - The lessons focus on estimating, measuring, and classifying angles and triangles, identifying congruence and noncongruence, investigating complimentary, supplementary, and vertical angles.
Common Core Standards