Find the angle ACD, if straight lines a and b are parallel, the angle DBE is 45 °.

solution
given straight lines that are parallel
angle DBE is 45 degrees

find the angle ACD
consider the angles ACD and DBE
these angles are corresponding, the sum of the corresponding angles is 180 degrees
i.e. angle ACD + angle DBE = 180 degrees
then to find the angle ACD, subtract the angle DBE from 180 degrees
then we get 180 degrees – DBE angle = 180 degrees – 45 degrees = 135 degrees
in the end we get

angle asd = 135, since the angles ACD and DBE are corresponding
answer: angle asd = 135, since the angles ACD and DBE are corresponding