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Please show working out and reasonings.

Please show working out and reasonings.-example-1

1 Answer

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Answer: CAD = 60°

Step-by-step explanation: In cyclic quadrilateral, opposite angles add up to 180°.

Therefore CBA + ADC = 180° (opposite angles add up to 180°)

114° + ADC = 180°

ADC = 180° - 114°

ADC = 66°

Then CDF + ADC + ADE = 180° (angles on a straight line)

CDF + 66° + 54° = 180°

CDF + 120° = 180°

CDF = 180° - 120°

CDF = 60°

CDF = CAD (alternate segment angle)

Therefore CAD = 60°

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