+
Interior Angle Sum of Quadrilaterals

Interior Angle Sum of Quadrilaterals

Description:
  1.  

    Demonstrate why the sum of the measures of the interior angles of any quadrilateral is 3600

  2.  

    Provide examples that demonstrate how to use this theorem to solve for unknown variables and unknown angle measurements.

 

This packet should help a learner seeking to understand the sum of the interior angles of a quadrilateral.

(more)
See More

Try Our College Algebra Course. For FREE.

Sophia’s self-paced online courses are a great way to save time and money as you earn credits eligible for transfer to over 2,000 colleges and universities.*

Begin Free Trial
No credit card required

25 Sophia partners guarantee credit transfer.

221 Institutions have accepted or given pre-approval for credit transfer.

* The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 20 of Sophia’s online courses. More than 2,000 colleges and universities consider ACE CREDIT recommendations in determining the applicability to their course and degree programs.

Tutorial

This video explains that the sum of the interior angles of a quadrilateral is always 360 degrees.

Source: RobertOB on Guaranteach

Why 360 degrees?

One may ask, at this point, why the sum of the angles of a quadrilateral is 360 degrees. This is because any quadrilateral can be divided into two triangles, each of which, as we know, has angles that sum to 180 degrees. Thus, the total of all the angles in a quadrilateral is 360 degrees.

Using the Interior Angle Sum of Quadrilaterals to Find Unknown Angles

Source: RobertOB on Guaranteach