Answer:
x = 25.5
Explanation:
Since there is a pair of parallel lines and a line cutting across the lines, ∠5 and ∠12 are interior angles and add up to 180°.
∠5 + ∠12 = 180°
5x - 11 + x + 38 = 180
Evaluate like terms.
6x + 27 = 180
Isolate 6x.
6x = 180 - 27
= 153
Find x.
x = 153 ÷ 6
x = 25.5