If $\mathrm{p}$ is a prime number, then prove that $\sqrt{\mathrm{p}}$ is irrational.

In a cyclic quadrilateral $\mathrm{ABCD}$, it is given that,

$\angle \mathrm{A}=(2\mathrm{x}+4)°, \angle \mathrm{B}=(\mathrm{y}+3)°, \angle \mathrm{C}=(2\mathrm{y}+10)° \mathrm{and} \angle \mathrm{D}=(4\mathrm{x}-5)°$. Find the four angles.

“Note: This question given in the book seems to have errors and the modified question should be as given below.”

Solve for $x: \frac{x-1}{x-2}+\frac{x-3}{x-4}=3\frac{1}{3}, x\ne 2, 4$.