A single row impulse turbine develops \(130 \mathrm{~kW}\) at a blade speed of \(180 \mathrm{~m} / \mathrm{s}\) using \(2 \mathrm{~kg} / \mathrm{s}\) of steam. The steam leaves the nozzle at \(400 \mathrm{~m} / \mathrm{s}\). The friction coefficient for blades is 0.9 and steam leaves the blades axially. Determine

(a) nozzle angle, and

(b) blade angles at entry and exit, assuming no shock.