Answer:
x = 11
Step-by-step explanation:
In ΔSTU ,
m∠S = (11x+3)° ; m∠T = (2x+16)° ; m∠U = (x+7)°
According to angle sum property of a triangle , sum of all the interior angles of the triangle is 180°.
So,
[tex]11x + 3 + 2x + 16 + x + 7 = 180[/tex]
[tex] = > 14x + 26 = 180[/tex]
[tex] = > 14x = 180 - 26 = 154[/tex]
[tex] = > x = \frac{154}{14} = 11[/tex]
