Question

The segments in each figure are tangent to the circle. Solve for x.4x -9AB15DС

Answer 1

CIRCLE THEOREM: Two tangents drawn from an external point to a circle are equal.

Thus, AB is a tangent to the circle and also BC is another tangent to the circle, both drawn from point B.

AB = BC;

`\begin{gathered} 4x-19=15 \\ 4x=15+19 \\ 4x=34 \\ x=(34)/(4) \\ x=8.5 \end{gathered}`

The value of x is 8.5