How Do You Find the Angles in a Triangle if You Have a Ratio of Their Measures?

How Do You Find the Angles in a Triangle if You Have a Ratio of Their Measures?

Note:

Looking for the measurements of the interior angles of a triangle? Then check out this tutorial! You'll see how to use a given ratio of the interior angles and the Triangle Sum theorem to find those missing measurements. Take a look!

Keywords:

  • problem
  • triangle
  • ratio
  • ratio of angles
  • angles
  • angle
  • missing angles
  • find missing angles
  • triangle sum theorem
  • 180
  • 180 degrees
  • add to 180

Background Tutorials

  • Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.

      • What is an Angle?What is an Angle?

      What is an Angle?

      Angles are a fundamental building block for creating all sorts of shapes! In this tutorial, learn about how an angle is formed, how to name an angle, and how an angle is measured. Take a look!

  • Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.

      • What's a Ratio?What's a Ratio?

      What's a Ratio?

      Ratios are everywhere! The scale on a map or blueprint is a ratio. Ingredients sometimes need to be mixed using ratios such as the ratio of water to cement mix when making cement. Watch this tutorial to learn about ratios. Then think of some ratios you've encountered before!

  • Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

      • What are Like Terms?What are Like Terms?

      What are Like Terms?

      Combining like terms together is a key part of simplifying mathematical expressions, so check out this tutorial to see how you can easily pick out like terms from an expression

Further Exploration

  • Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.

      • How Do You Find a Missing Angle in a Triangle?How Do You Find a Missing Angle in a Triangle?

      How Do You Find a Missing Angle in a Triangle?

      Trying to find a missing interior angle measurement in a triangle? Already know the other two interior angle measurements? Then you're set! Just remember that the interior angles of a triangle ALWAYS add up to 180 degrees. This tutorial shows you how to put this knowledge into an equation and solve to find that missing measurement!