Find the acute angle solution to the following equation involving cofunctions. M is in radians.

$\tan\left(\frac{M}{2}+5\right)=\cot\left(M-5\right)$

• A. $\frac{\pi}{2}$
• B. $\frac{\pi}{4}$
• C. $\frac{\pi}{3}$
• D. $\frac{\pi}{6}$