Typescript was started at Microsoft by the guy who designed Turbo Pascal and C#, so completely independently from Google's Angular team. Angular had its own "AtScript" and eventually ditched that. Typescript had experimental decorator support well before Angular Team moved from AtScript, because it was a ECMAScript proposal.
Angular had zero influence in the design or success of Typescript. Typescript however does support JSX optionally so one can claim that React DID influence Typescript's design decisions.