A metal bracket is designed with a central vertical support of length y y\,y connecting the top peak to the bottom frame. The bracket is composed of two triangular parts. The left part has sides of length 15 cm and 20 cm, with an angle of 35∘ 35^\circ\,35∘ between them at the upper-left joint. The vertical support meets the bottom frame at a 90∘ 90^\circ\,90∘ angle. The bottom segment of the frame to the right of the support is 9 cm long. The angle at the bottom-right of the bracket is x∘x^\circx∘.
Work out the value of xxx.
Give your answer to 1 decimal place.
