We have performed a measurement of the K+ --> pi (+)pi (0)gamma decay and h
ave observed 2 X 10(4) events. The best fit to the decay spectrum gives a b
ranching ratio for direct photon emission of (4.7 +/- 0.8 +/- 0.3) X 10(-6)
in the pi (+) kinetic energy region of 55 to 90 MeV and requires no compon
ent due to interference with inner bremsstrahlung.