Question

Find the value of x

Answer 1

The value of
`x` is 2.

Explanation:

Given that
`\overline{HI}` and
`\overline{HJ}` are secant to arcs
`HI` and
`HJ`, which have the same central angles. Therefore,
`HI = HJ` due to symmetry:

`HI = HJ` (1)

`2\cdot x + 1 = 5\cdot x - 5`

`3\cdot x = 6`

`x = 2`

Hence, the value of
`x` is 2.