Question

Solve for x in the picture please

Answer 1

Answer: $x=1$

Step-by-step explanation:

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

$Tangent\ chord\ angle=\frac{1}{2}(Intercepted\ arc)$

 We can identify in the figure that:

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

Then:

$43x=\frac{1}{2}AB$

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:

$(86x)+(272x+2)=360\\\\358x=360-2\\\\x=\frac{358}{358}\\\\x=1$