Question 11a

ABCD is a parallelogram and BCDF is a trapezium. AD = FD. ∠BED = 135° and ∠BCD = 116°. Find ∠DAF. (2 marks)

$Question 11a diagram$

Answer: 64 °

Workings

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∠ DAF = 180 - ∠ DAE (green)

∠ DAE (green) is in parallelogram ABCD

∠ DAE (green) = ∠ DCB = 116° (opposite angle in parallelogram is the same)

∠ DAF = 180 - ∠ DAE (green) = 180 - 116 = 64 °

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