A----------------------------------------B
|. . |
| .45 . |
| . . |
| . . |
| . . |
| . . |
| . . 70 |
| . E
| . .|
| . . |
| . . |
| . . |
| . . |
| . . |
| . . |
| . . |
D----------------F-----------------------C
ABCD is a square of side length 1 unit. A straight line is drawn from A to meet BC at E so that angle AEB is 70 degrees. Another straight line is drawn from A to meet CD at F so that angle EAF is 45 degrees.
Using only elementary geometry (a) what is angle AFE? and (b) what is the perimeter of triangle CEF?
Cinelli