Question

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

Answer 1

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