Thread: Pentagon, Hexagon

ABCDE is a pentagon in which triangles ABC, AED and CAD are all isosceles, AC = AD and CAD is acute. Interior angles ABC and AED are both right angles. Explain how you know that four of these such pentagons will fit together to form a hexagon.

Thanks

Originally Posted by X1337

ABCDE is a pentagon in which triangles ABC, AED and CAD are all isosceles, AC = AD and CAD is acute. Interior angles ABC and AED are both right angles. Explain how you know that four of these such pentagons will fit together to form a hexagon.

Here's a picture to show how the four pentagons fit together. Now it's up to you to show that the angles at C and D add up to a complete revolution.