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Answer: the answer to lg is 18

The length of LJ is 18 feet.

What is an arc measure of a circle?

'An arc measure is an angle the arc makes at the center of a circle, whereas the arc length is the span along the arc. This angle measure can be in radians or degrees.'

According to the the given problem,

If we draw a dotted line from H to P and from J to P,

∠HKP = ∠JLP (Similarity of triangles)

HP = JP

KP = LP

⇒ ΔHKP ≅ ΔJLP

⇒ KH = LJ

Now, joining G and P,

GP = HP (radius of the circle)

PM is perpendicular to GH.

⇒ PM equally divides GH .

⇒ KH = GK = [tex]\frac{1}{2}[/tex] of GH

          = [tex]\frac{1}{2}[/tex] × 36

          = 18 feet

Hence, we can conclude that the length of LJ is 18 feet.

Learn more about arc measure of a circle here:

https://brainly.com/question/12477901

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