Question

I need help with this please

Answer 1

Here, we will apply the concept of Vertically Opposite angle property and central angle property ;

So here, as b is vertically opposite to the angle whose measure is 20° . So , b will also be 20°

And, if we see the angle c, so angle vertically opposite to c will also be c, and as central angle is of 360° , so ;

`{:\implies \quad \sf c+c+20^(\circ)+20^(\circ)=360^(\circ)}`

`{:\implies \quad \sf 2c+40^(\circ)=360^(\circ)}`

`{:\implies \quad \sf 2c=360^(\circ)-40^(\circ)}`

`{:\implies \quad \sf 2c=320^(\circ)}`

`{:\implies \quad \sf c=(320^(\circ))/(2)=160^(\circ)}`

Hence, we can conclude that ;

• 
  `{\bf{c=160^(\circ)}}`
• 
  `{\bf{b=20^(\circ)}}`