PLEASE HELP ME; TANGENT LINES FIND THE VALUE OF X! PLEASE EXPLAIN!BRAINLIEST GIVEN!

Answer: 6.6
Step-by-step explanation:
Since it is a tangent line, then the angle between x and 15.5 is a right angle. Therefore, you can use the Pythagorean Theorem:
leg² + other leg² = hypotenuse²
(x)² + (13.5)² = (x + 8.45)²
x² + 182.25 = x² + 16.9x + 71.4025
182.25 = 16.9x + 71.4025
110.8475 = 16.9x
6.6 = x