Given: m∠MEJ=16°, m MJ =5m KL Find: m KL

Question

      

Answer 1

<MEJ, major arc MJ, and minor arc KL are all formed by the two secants.

The equation you need to know is --> <MEJ = (1/2)(MJ - KL)

Since MJ = 5KL, we can substitute that into our equation:

<MEJ = (1/2)(5KL - KL)

<MEJ = (1/2)(4KL)

<MEJ = 2KL

So KL = (<MEJ)/2. Plug that in, and you have your answer.