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Wittaler [7]
3 years ago
8

Solve for x in the picture please

Mathematics
1 answer:
Nutka1998 [239]3 years ago
8 0

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

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