Question

Line DCE is parallel to line AB

a) Find the size of angle ABC
b) Find the size of angle DCA
c) Calculate the size of angle ACB

Answer 1

Angle DCA = Angle CAB. (Alternate Interior Angle)

Angle DCA = 68°

Angles(DCA + ACB + BCE) = 180°. (Linear Pair)

Angle ACB + 68° + 33° = 180°

Angle ACB = 79°

Therefore,

Angle ABC = 33°. (Alternate Interior Angle)