Question

prove that angle 1 + angle 2 equals to angle 3 + angle 4

Answer 1

in quadrilateral ABCD,
AB Parallel to CD and DA is the transversal,
angle 3 = angle 2 (1)
AB Parallel to CD and DA is the transversal,
angle 1=angle 4 (2)
from (1) and (2) we get
angle 1+angle 3=angle 2+angle 4


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