Question

if AB||DE, find angle ACD

Answer 1

given: AB|| DE
find : angle ACD
proof: angle A= angle E (AB || DE)

angle E = 35

in triangle DEC
angle D + angle E + angleDEC =180 (angle sum property)
53 +35 + angle DCE =180
88 + angle DCE =180
angle DCE = 180-88
angle DCE = 92

angle ACD + DCE =180 (linear pair )
angle ACD + 92 =180
ACD = 180-92
ACD = 88

it may help you