Answer:
x=8°, y=21°
Step-by-step explanation:
AOB is a linear angle, hence 180°. It is the sum of angles AOE, EOG, and GOB. Angle EOG is marked as a right angle, so we have ...
... x + 90° + (8x+18°) = 180°
... 9x = 72° . . . . . collect terms, subtract 108°
... x = 72°/9
... x = 8°
_____
We noted above that EOG is a right angle. It is the sum of angles EOF and FOG, so we have
... 27° + 3y = 90°
... 9° + y = 30° . . . . . divide by 3
... y = 30° -9° . . . . . . subtract 9°
... y = 21°
