Question

In Fig., AB || CD and G is any point as shown. Prove that angleCEG + angleAFG = angleEGF.
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Answer 1

Answer:

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Step-by-step explanation:

Draw a line XY through G parallel to AB and CD

Angle CEG = Angle EGX ( Alternate interior angle)

Angle AFG = Angle FGX ( Alternate interior angle)

Angle EGX + Angle FGX = Angle EGF

Angle CEG + Angle AFG = Angle EGX + Angle FGX

Hence proved, Angle CEG + Angle AFG = Angle EGF