How to answer this angles question Watch
CDB = ABD = 180 - (38 + 120) = 22
this implies that 180 - ( 22 + 180 - 41) = x
60 - 38 = 22.
180 - (22 + 180 - 41) = 19
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However, since someone has already given you a full solution in this instance, in a fashion, here is a breakdown:
First off look at the triangle ABD. This allows you to work out the angle ABD (sum of angles is 180). (image 1)
Then angle ABD = angle CDB - corresponding angle between parallel lines (image 2)
Finally, consider triangle CDE. External angle is the sum of the two opposite internal angles. And this allows you to work out x. x+ angle CDE = angle BEC , (image 3).