Respuesta :

Sum of the interior angle of any triangle must equal to 180 degrees thus :

[tex]53 + 90 + t = 180[/tex]

[tex]143 + t = 180[/tex]

[tex]t = 37[/tex]

Thus angle T has a measure of 37° .

Answer: 37

Explanation: Angle S is a right triangle because ST is tangent to circle Q.
180 - 90 - 53 = 37