Question

c. explain how to use what you know about the sum of the angles in a triangle to figure out the sum of the angles of quadrilateral abed.

Explanation:

Step1: Recall triangle - angle sum property

The sum of the angles in a triangle is 180°.

Step2: Divide the quadrilateral into triangles

Quadrilateral ABED can be divided into two triangles, say △ABE and △BED.

Step3: Calculate the sum of angles of the quadrilateral

The sum of angles of △ABE is 180° and the sum of angles of △BED is 180°. So the sum of the angles of quadrilateral ABED is 180°+ 180° = 360°.

Answer:

The sum of the angles of quadrilateral ABED is 360°.