Question

Given the circle below, find the value of x.251L (9x+26)*

Answer 1

Given the following:

Then:

`a=(b-c)/(2)`

In this case, we are given:

a = (9x + 26)

b = 251

To find c, we rest a whole circle (360) and rest angle b:

`c=360-251=109`

And now, we use the formula from above:

`9x+26=(251-109)/(2)`

And solve for x:

`\begin{gathered} 9x+26=(142)/(2) \\ . \\ 9x=71-26 \\ . \\ x=(45)/(9) \\ . \\ x=5 \end{gathered}`

The answer is the last option, x = 5