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Angles in a Multi-Step Problems

Answer Keys Here

Aligned To Common Core Standard:

Grade 7 Geometry - 7.G.B.5

What are supplementary, complementary, vertical, and adjacent angles? Let's revise the basics first; what is an angle? To simply put, an angle s=is the space between two straight lines that start at the same point. The straight lines are known as the segments, and the point where both lines meet is known as the vertex. But do all angles look the same? Some angles combine together to give us a single figure of angle. Lets discuss the different types of these angles. Complementary Angle - In some cases, two angles meet to form a single figure. Complementary angles are angles in which two angles meet to form a single angle. The sum of these angles is measured to be 90 degrees Supplementary angles - Supplementary angles are another type of angle where two angles meet to form a single angle. But in this type of angle, the sum is measured to be 180 degrees. Vertical angles - Vertical angles are formed when two lines cross each other. ‘vertical' here doesn't mean an up or down direction; it means that they share the same corner point. The interesting thing about the vertical angle is that they measure the same. Adjacent angle - When two angles share a common side and a common corner point, they are called an adjacent angle. These angles lie side by side but never overlap.

Printable Worksheets And Lessons

Homework Sheets

We go absolutely triangle and line crazy with these.

  • Homework 1 - Write and solve an equation to find the measure of angle x.
  • Homework 2 - Find the measure of angle x.
  • Homework 3 - All three angles are on the same line so the value of all the angles is 180°.

Practice Worksheets

Please help students notice that some of these angles are not drawn to scale on purpose.

  • Practice 1 - What is the value of g? Given
  • Practice 2 - Find the missing angle measurement in each set of complementary angles. Assume a right angle is formed.
  • Practice 3 - The sum of all angles within a triangle = 180°

Math Skill Quizzes

Use the other angles as a reference and find all the missing angles.

  • Quiz 1 - What is the value of p?
  • Quiz 2 - Because these are vertical angles that are formed opposite each other when the two lines intersect. Vertical angles are congruent.
  • Quiz 3 - Using Double Triangles to Solve Angle Measures