Find the angle X

Jul 2016
3
0
......
Hi Please Help me to find the angle X with reasons.(Diagram attached)

BD & CD points are on BE side of the ▲ABE. AC=DE. Find the value of angle X

New Document 217-Page 3.jpg
 

Debsta

MHF Helper
Oct 2009
1,361
633
Brisbane
Label all the angles you do know first.
 
Feb 2015
2,255
510
Ottawa Ontario
A way to get it done:

1: calculate manually angle sizes
(all possible except angle DAE and angle AED)

2: let AC = DE = 1

3: calculate CD using Law of Sines

4: calculate AE using Law of Cosines

5: calculate x using Law of Sines