GileadO147837 GileadO147837

27-10-2022
Mathematics

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4. In the figure below, lines CE, BD, & FG intersect at point A. Find the value of x, if

4 In the figure below lines CE BD amp FG intersect at point A Find the value of x if class=

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YohannesT19672 YohannesT19672

27-10-2022

[tex]\begin{gathered} \text{As we know,} \\ \angle CAF=\angle GAE=x-13 \\ \angle DAG=\angle BAF=x-9 \\ \angle DAC=2x+6 \\ So, \\ \angle CAF+\angle DAG+\angle DAC=180 \\ x-13+x-9+2x+6180 \\ 4x-16=180 \\ 4x=180-16 \\ x=41^{\circ} \end{gathered}[/tex]

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