Question

What is the value of X?

Answer 1

x = 6 units

Explanation:

BD and CD are tangents to the circle from point D.

Since, tangents drawn from external point to a circle are congruent.

`\therefore \: BD \cong CD \\ \therefore \: 4x - 9 = 15 \\ \therefore \: 4x = 15 + 9 \\ \therefore \: 4x = 24 \\ \therefore \: x = (24)/(4) \\ \huge \red{ \boxed{\therefore \: x = 6 \: units}}`