11. Using the triangle below, set up and solve
an equation in order to find the value of x.

Answer:
x = 27.4
Step-by-step explanation:
[tex]\sf \angle Q+ \angle R+ \angle S=180^{o} [/tex]
[tex]\sf 34.6 + 118 + x = 180[/tex]
Add 34.6 and 118 = 152.6
[tex]\sf 152.6+x=180[/tex]
Subtract 152.6 from both sides.
[tex]\sf x=180 - 152.6[/tex]
Subtract 152.6 from 180 = 27.4.
Therefore, the missing angle "x" is 27.4.