Question

Find the value of x in the circle below:(8x – 2)°(12.2 - 8)°1001.588.29

Answer 1

The total sum of the angles must give 360 then:

$\begin{gathered} 360=(8x-2)+90+(12x-8)+100 \\ 360=(8x+12x)+(100-2+90-8) \\ 360=20x+180 \\ 20x=360-180 \\ 20x=180 \\ x=\frac{180}{20} \\ x=9º \end{gathered}$