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Interior Angles Of A Triangle




 
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More Lessons for Geometry

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In this lesson, we will learn

  • the interior angles of a triangle
  • the properties of the interior angles of a triangle
  • how the properties can be used to find the missing angles inside a triangle.
  • how the sum of interior angles of a triangle can be used to set up equations.


Interior Angles

The interior angles of a triangle are the angles inside the triangle

Properties of Interior Angles

  • The sum of the three interior angles in a triangle is always 180°.
  • Since the interior angles add up to 180°, every angle must be less than 180°.

 

Find missing angles inside a triangle

Example:

Find the value of x in the following triangle.

Solution:

x + 24° + 32° = 180° (sum of angles is 180°)

x + 56° = 180°

x = 180° – 56° = 124°

The following video shows another example of how to find the missing angle inside a triangle.




Using Interior Angles of Triangle to set up equations

How to use the sum of the interior angles of a triangle to solve problems



 
Using the sum of the interior angles of a triangle, write an equation and solve for the unknown


Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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