Question

Solve for X. Assume that lines which appear to be tangent are tangent. If you could also explain that would be amazing

Answer 1

Answer: B) 12

Step-by-step explanation:

You can use the HL congruence theorem to prove the right triangles are congruent. Then using CPCTC you can show the tangent segments are the same length.

-6+2x = x+6

2x-x = 6+6

x = 12

Answer 2

B) 12

Step-by-step explanation:

A tangent is a straight line that touches a circle at only one point.

Tangents from a common point to a circle are always equal in length.

Therefore, to find the value of x, equate the expressions for the lengths of the two tangent segments and solve for x.

`\implies -6+2x=x+6`

`\implies -6+2x-x=x+6-x`

`\implies -6+x=6`

`\implies -6+x+6=6+6`

`\implies x=12`

Therefore, the value of x is 12.