Braitsch made the most of excellent conditions in the Sulayr Snowpark at Loma de Dilar, Sierra Nevada, to notch the winning total of 81.83 points from his first of two runs.
The 22-year-old student from the Technical University of Munich pulled off a 'switch 540 screaming seaman', a 'cork 900 truck driver' and a 'switch right side 900 mute' to win the gold medal ahead of American pair Broby Leeds (78 points) and Cody Potter (75.33).
In a tight final, Russia's Arkadii Kazakov finished fourth (73.66 points), Poland's Barthlomiej Sibiga fifth (73.16 points) and Switzerland's Alexander Benz sixth (70.50 points).
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The younger sister of bronze medallist Cody Potter, Brooke, completed a full-house of slopestyle medals for the USA in the same afternoon with victory in the women's competition, the 19-year-old from Colorado scoring the winning total of 73.16 from her second run with a switch 180, a regular 360 and an off-axis 270 with grabs.
"I was nervous but I managed to win the gold. I love Sierra Nevada. I can't wait to come back," Potter said.
Russia's Zuzana Stromkova took the silver medal with 69.83 points while Stefanie Moessler of Austria rose from fourth to take the bronze after her second round of 58 points.
Poor visibility meant all training and the qualification heats had to take place on Monday morning prior to the finals, making for a busy day at Loma de Dilar.
In ice hockey, the women's preliminary round continued with Japan edging China 1-0 and the USA thrashing hosts Spain 9-1 in the Group A games at the Mulhacen Pavilion.
Spain's women's curling team experienced a day to forget with large defeats at the hands of Japan (14-2) and Norway (13-0) at the Fuentenueva Pavilion. In the men's competition the USA lost 6-8 to the Czech Republic, Switzerland lost 5-8 to Russia, Sweden beat Japan 6-5, Norway were beaten by by Canada 7-9 and Spain were edged 3-4 by Great Britain.
Russia still tops the medal table with a huge haul of 47 medals (17 gold, 14 silver, 16 bronze). Second-place Kazakhstan's total of 10 medals is made up of five golds and five silvers but no bronze medals. Great Britain are yet to win a medal.
While the men's and women's snowboarding parallel giant slalom is the only medal event on Tuesday, the last places in the men's ice hockey quarter finals are all to play for, with the USA facing Sweden, Spain taking on the Republic of Korea and Japan coming up against China for a place in the last eight.
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