[3] Te Rangi made his debut in the Australian NBL during the 2012–13 season as a development player with the New Zealand Breakers.

[5] A year later, he helped the Breakers reach the 2016 NBL Grand Final series, where they were defeated by the Perth Wildcats.

[8] On 22 July 2020, Te Rangi signed a two-year deal with the South East Melbourne Phoenix.

[13] Te Rangi made his debut in the New Zealand NBL in 2012 with the Harbour Heat[2] and subsequently won the Rookie of the Year award.

[27] In 2012, Te Rangi played for the Junior Tall Blacks at the FIBA Oceania Under-18 Championship and the Albert Schweitzer Tournament.

[28] He captained the Tall Blacks at the 2017 Asia Cup in Lebanon, and in 2018, he was a member of the bronze medal winning team at the Commonwealth Games.

[3] In July 2023, Te Rangi was named in the Tall Blacks squad for the 2023 FIBA World Cup.

[29] Te Rangi is the son of Alex and Piloma, and he has two siblings, sister Aerin and brother Dante.