Question

Solve for x in the picture please

Answer 1

Answer:
`x=1`

Explanation:

In order to find the value of "x", it is important to remember that:

`Tangent\ chord\ angle=(1)/(2)(Intercepted\ arc)`

We can identify in the figure that:

`Tangent\ chord\ angle=(43x)\°\\\\Intercepted\ arc=AB`

Then:

`43x=(1)/(2)AB`

Solving for AB:

`2(43x)=AB\\\\AB=86x`

Now, since there are 360° in a circle, we know that:

`AB+(272x+2)=360`

Then we can substitute
`AB=86x` into
`AB+(272x+2)=360\°` and solve for "x". This is:

`(86x)+(272x+2)=360\\\\358x=360-2\\\\x=(358)/(358)\\\\x=1`