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Question Number 199023 by mr W last updated on 26/Oct/23

Commented by mr W last updated on 26/Oct/23

if AX=YB, prove ∠ADX=∠YDC.

$${if}\:{AX}={YB},\:{prove}\:\angle{ADX}=\angle{YDC}. \\ $$

Answered by mr W last updated on 27/Oct/23

Commented by mr W last updated on 27/Oct/23

AD=YO=radius  ΔADX≡ΔYOB  ∠ADX=∠YOB=α=∠COB  ∠YDC=β=((∠YOC)/2)=α=∠YOB=∠ADX  ⇒proved

$${AD}={YO}={radius} \\ $$$$\Delta{ADX}\equiv\Delta{YOB} \\ $$$$\angle{ADX}=\angle{YOB}=\alpha=\angle{COB} \\ $$$$\angle{YDC}=\beta=\frac{\angle{YOC}}{\mathrm{2}}=\alpha=\angle{YOB}=\angle{ADX} \\ $$$$\Rightarrow{proved} \\ $$

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