49,177 views
17 votes
17 votes
Find the measure of

Find the measure of-example-1
User Roman Yakubovich
by
2.5k points

1 Answer

14 votes
14 votes

we have the following:


<\text{JKM}=<\text{MKL}

Therefore:


(\sin (2x-3))/(4x-1)=(\sin (2x-3))/(35)

solving for x:


\begin{gathered} (2x-3)/(4x-1)=(2x-3)/(35) \\ 35\cdot(2x-3)=(4x-1)\cdot(2x-3)_{} \\ 70x-105=8x^2-14x+3 \\ 8x^2-84x+108=0 \\ 4\mleft(2x-3\mright)\mleft(x-9\mright)=0 \\ x=9 \end{gathered}

therefore,


<\text{JKM=2}\cdot9-3=18-3=15

User Fanfabbb
by
2.3k points