Question

Find YZ.


Geometry, circles.​

Answer 1

YZ = 44

Explanation:

(2x - 6) × 21 = (x + 1) × 30 => intersecting chords theorem

42x - 126 = 30x + 30

Collect like terms

42x - 30x = 126 + 30

12x = 156

12x/12 = 156/12

x = 13

✔️Find YZ:

YZ = 30 + x + 1

Plug in the value of x

YZ = 30 + 13 + 1

YZ = 44