DayleK198650 DayleK198650
  • 25-10-2022
  • Mathematics
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In the diagram below, BS and ER intersect as show. Determine the measure of

In the diagram below BS and ER intersect as show Determine the measure of class=

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TimeaC722776 TimeaC722776
  • 25-10-2022
[tex]\begin{gathered} \angle RAS=\angle BAE\text{ (Vertically opposite angles are equal)} \\ \angle RAS=(9x+24)^0 \end{gathered}[/tex][tex]\angle BAR+\angle RAS=180^0(sum\text{ of angles on a straight line)}[/tex][tex]\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}[/tex][tex]\begin{gathered} \angle RAS=9x+24 \\ \angle RAS=9(7)+24 \\ \angle RAS=63+24 \\ \angle RAS=87^0 \end{gathered}[/tex]

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