Your thinking of the number 69
In the problem of insufficient data quantities. I can get a general solution.We know that tangent to a circle is perpendicular to the radius at the point of tangency. It's mean that triangles LJM and LJK are rights.
Let angle JLK like X.
So, angle JLM=61-x.
And it's mean that by using right triangle trigonometry
Radius MJ = LM*cos(61-X)
We have the formula (sin x)^2 + (cos x)^2 = 1;
Then, sin α =
![\sqrt{1- ( \frac{4}{5}) ^{2} } = \frac{3}{5} ;](https://tex.z-dn.net/?f=%20%5Csqrt%7B1-%20%20%28%20%5Cfrac%7B4%7D%7B5%7D%29%20%5E%7B2%7D%20%7D%20%3D%20%20%5Cfrac%7B3%7D%7B5%7D%20%3B)
cos β =
![\sqrt{1- ( \frac{4}{5}) ^{2} } = \frac{3}{5} ;](https://tex.z-dn.net/?f=%20%5Csqrt%7B1-%20%28%20%5Cfrac%7B4%7D%7B5%7D%29%20%5E%7B2%7D%20%7D%20%3D%20%5Cfrac%7B3%7D%7B5%7D%20%3B)
We apply the formula sin ( α + β ) = sin α x cos β + sin β x cos α = (3/5)x(4/5) + (4/5)x(3/5) = 12/25 + 12/25 = 24/25;
C. 2/3 is the correct answer. I worked this question out and that is what I got! I hope you have a nice day! (mark as brainliest!)