Question

In the diagram below, BS and ER intersect as show. Determine the measure of

Answer 1

$\begin{gathered} \angle RAS=\angle BAE\text{ (Vertically opposite angles are equal)} \\ \angle RAS=(9x+24)^0 \end{gathered}$$\angle BAR+\angle RAS=180^0(sum\text{ of angles on a straight line)}$$\begin{gathered} 11x+16+9x+24=180 \\ 11x+9x+16+24=180 \\ 20x+40=180 \\ 20x=180-40 \\ 20x=140 \\ x=\frac{140}{20} \\ x=7^0 \end{gathered}$$\begin{gathered} \angle RAS=9x+24 \\ \angle RAS=9(7)+24 \\ \angle RAS=63+24 \\ \angle RAS=87^0 \end{gathered}$