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Question Number 183124 by HeferH last updated on 21/Dec/22

Answered by a.lgnaoui last updated on 22/Dec/22

$$\mathrm{methode}1\left(\mathrm{simple}\right)$$$$△\mathrm{ABC}30+50+\mathrm{x}+\theta =180$$$$\mathrm{x}+\theta =100$$$$\mathrm{AB}\parallel \mathrm{DE}\Rightarrow \measuredangle \mathrm{CDE}=\measuredangle \mathrm{CBA}=100$$$$\measuredangle \mathrm{EDF}=\measuredangle \mathrm{DAB}=20\Rightarrow \measuredangle \mathrm{FDB}=60$$$$△\mathrm{EBC}\mathrm{triangle}\mathrm{isocele}(\mathrm{BE}=\mathrm{EC})$$$$\measuredangle \mathrm{FBD}=\measuredangle \mathrm{ECD}=50\Rightarrow \theta =50$$$$\mathrm{x}=100-50=50$$$$$$

Commented by a.lgnaoui last updated on 22/Dec/22

Commented by mr W last updated on 22/Dec/22

$$howcanyousay$$$$△\mathrm{EBC}\mathrm{triangle}\mathrm{isocele}(\mathrm{BE}=\mathrm{EC})?$$

Commented by a.lgnaoui last updated on 22/Dec/22

$$parmesure$$

Commented by mr W last updated on 23/Dec/22

$$why{don}^{\prime }tyoudirectlyuseaprotractor$$$$tomessuretheangle?$$$$thenyou{don}^{\prime }tneedtodoalltheother$$$$unnecessarycalculationsyoudid.$$

Commented by mr W last updated on 23/Dec/22

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