Answer:
x = 24
Step-by-step explanation:
Since all the angles share a common vertex 'U' lying on a straight line QT.
Therefore, sum of all angles formed at U will be equal to 180°.
m∠RUQ + m∠RUS + m∠SUT = 180°
(2x - 4) + (3x + 5) + (2x + 11) = 180°
(2x + 3x + 2x) + (5 - 4 + 11) = 180
7x + 12 = 180
7x = 180 - 12
x = [tex]\frac{168}{7}[/tex]
x = 24
Therefore, value of x = 24
