If m<MKL = 83, m< JKL = 127, and m< JKM = ( 9x-10),find the value of c

Question

Find the value of x

 

Answer 1

9x - 10 + 83 = 127

9x + 73 = 127

9x = 54

x = 6

Drawing the picture correctly is the key. Draw ∠JKL first. Then draw ray KM.

It should be easy to see that m∠JKM + m∠MKL = m∠JKL.