The sum of the interior angles of any quadrilateral is 360°. Consider the two examples below.
You could draw many quadrilaterals such as these and carefully measure the four angles. You would find that for every quadrilateral, the sum of the interior angles will always be 360°.
You can also use your knowledge of triangles as a way to understand why the sum of the interior angles of any quadrilateral is 360°. Any quadrilateral can be divided into two triangles as shown in the images below.
From the first image, the quadrilaterals have each been divided into two triangles. Therefore, a half of quadrilaterals gives you a triangle. And since 180° is the total interior angle of a triangle, then the angle of a quadrilateral will be twice that of triangle. Thus 2 X 180=360
Click on the link below to listen to the audio part of the lesson....... 👇👇👇
https://youtu.be/anglesonquadrilaterals
END OF LESSON EXERCISE
Find the missing angles of the following quadrilaterals
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