Interior Angles Of A Triangle

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

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