Question

determine the value of x​

Answer 1

Answer:

x is 66.5

Step-by-step explanation:

Let the two lines be AB and CD.

So, <AOD=133 degrees

<AOC + <AOD= 180 (Linear pair: angles on a straight line add up to 180)

<AOC+133=180

<AOC=180−133

<AOC=47

<AOC=<BOD(Vertically Opposite Angles)

Finally,

133+47+47+x+x=360 (Angles around a point add up to 360)

227+2x=360

2x=360−227

2x=133

x=133/2

x=66.5

Hence, x=66.5

Hope this helped! :)