Answer:
JK = 8
Step-by-step explanation:
Given 2 intersecting chords, then
The product of the measures of the parts of one chord is equal to the product of the measures of the other chord, that is
x(x + 4) = (x + 1)(x + 2) ← expand parenthesis
x² + 4x = x² + 3x + 2 ( subtract x² + 3x from both sides )
x = 2
Then
JK = x + 4 + x = 2x + 4 = 2(2) + 4 = 4 + 4 = 8
