Question

Tangents/secants intersecting outside a circle. Find the value of X.

Answer 1

x = 3

Explanation:

the tangent- tangent angle is half the difference of the measures of the intercepted arcs, that is

8x + 1 =
`(1)/(2)` ( 39x - (24x - 5) )

8x + 1 =
`(1)/(2)` (39x - 24x + 5) ← multiply both sides by 2 to clear the fraction

16x + 2 = 39x - 24x + 5

16x + 2 = 15x + 5 ( subtract 15x from both sides )

x + 2 = 5 ( subtract 2 from both sides )

x = 3