$\begin{array}{1 1}(a)\;15^{\large\circ}&(b)\;45^{\large\circ},\large\frac{5\pi}{2}\\(c)\;75^{\large\circ},\large\frac{\pi}{2}&(d)\;None\;of\;these\end{array}$

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Let the three angles be $3x,4x,5x$ degrees then

$3x+4x+5x=180^{\large\circ}$

$12x=180^{\large\circ}$

$x=\large\frac{180^{\large\circ}}{12}$

$x=15^{\large\circ}$

Smallest angle =$3x$

$\qquad\qquad\quad\;=3\times 15^{\large\circ}$

$\qquad\qquad\quad\;=45^{\large\circ}$

Greatest angle =$5x$

$\qquad\qquad\quad=5\times 15^{\large\circ}$

$\qquad\qquad\quad=75^{\large\circ}$

In radian $\Rightarrow 75^{\large\circ}\times\large\frac{\pi}{180^{\large\circ}}$

$\Rightarrow \large\frac{5\pi}{12}$ radians.

Hence (b) is the correct answer.

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