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andrew-mc [135]
3 years ago
13

Solve for x. Assume that lines which appear tangent are tangent.

Mathematics
1 answer:
NeX [460]3 years ago
8 0

Answer:

x=2

Step-by-step explanation:

The angle formed by two tangents intersecting outside of  a circle is half the difference of the intercepted arcs.

This implies that:

55=\frac{1}{2}(116x+3-(180-55))

We need to simplify this ad solve for x to get:

110=(116x+3-125)

Group the similar terms to  get:

110-3+125=116x

232=116x

Divide by 116 to get:

x=2

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