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The lines AB and CD intercept each other at point E. Along line CD you have angle AEC which is 50 degrees and angle AED which is unknown. Note that angles on a straight line sum uo to 180 degrees. Therefore
AEC + AED = 180
50 + AED = 180
Subtract 50 from both sides of the equation
AED = 130
Similarly along line AB, you have angle AED and angle DEB. The same rule applies, that is, angles along a straight line equals 180 degrees.
AED + DEB = 180
130 + DEB = 180
Subtract 130 from both sides of the equation
DEB = 50
**Note also that angle AEC and angle DEB are opposite angles. Opposite angles are equal. Therefore DEB = 50.**