Answer:
Step-by-step explanation:
See attachment for details on the three steps below.
Step
1. The angles at point B on the triangle side are y-12⁰ and 180⁰ - (y-12⁰), since the angles at B are along a straight line (180⁰).
2. The angles in the top triangle add to 180⁰: 38 + 90 +(180 - (y-12)) = 180
This leads to y = 140⁰
3. Angles in the lower trapezoid add to 360⁰: 90⁰ + 90⁰ + y + x = 360
Since y = 140⁰: 180⁰ + 140⁰ - 12 + x = 360⁰
308⁰ + x = 360⁰
x = 52⁰
