Worksheet: Angles in Quadrilaterals

In this worksheet, we will practice investigating the sum of the measures of angles in a quadrilateral and finding the measure of unknown angles.


Find 𝑚𝐸𝐵𝐴 in the given figure.

  • A𝑚𝐸𝐵𝐴=140
  • B𝑚𝐸𝐵𝐴=130
  • C𝑚𝐸𝐵𝐴=65
  • D𝑚𝐸𝐵𝐴=105
  • E𝑚𝐸𝐵𝐴=75


What is the sum of the measures of the angles in a quadrilateral?


In the given figure. Find 𝑚𝐴.

  • A𝑚𝐴=130
  • B𝑚𝐴=100
  • C𝑚𝐴=110
  • D𝑚𝐴=150
  • E𝑚𝐴=230


In the given figure, find 𝑚𝐵.

  • A𝑚𝐵=75
  • B𝑚𝐵=105
  • C𝑚𝐵=120
  • D𝑚𝐵=135
  • E𝑚𝐵=240

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