9514 1404 393
Answer:
x = 54
y = 114
Step-by-step explanation:
The angle marked y° corresponds to the one marked 114°. Corresponding angles in this geometry are congruent, so ...
y = 114
__
The angle marked (x+12)° and the one marked y° form a linear pair, so are supplementary:
(x +12)° +114° = 180°
x +126 = 180 . . . . . . . . divide by °, collect terms
x = 54 . . . . . . . . . . . . subtract 126
