Parallelograms

Question

In square ABCD, AC and BD intersect at E. Find the measure of every single angle in the diagram. If the measure of angle CED is represented by 5z+10, find the value of z.

Answer 1

This is a square with a bow tie in the center. There are 12 angles possible and the center ones are 90 degree in measure and the outer ones are 45 degrees in measure.

 

CED is one of the angles measuring 90 degrees. Solve 5z+10=90, 5z=80, z= ?

 

We get z= 40.