Answer:
x = 114
y = 56
Explanation:
y and 124 form a linear pair. The angles of a linear pair are supplementary, so their measures add up to 180 deg.
y + 124 = 180
y = 180 - 124
y = 56
The sum of the measures of the interior angles of a polygon with n sides is (n - 2)180. The polygon in this figure is a quadrilateral with 4 sides, so n = 4.
The sum of the measures of the interior angles of the quadrilateral is
(n - 2)180 = (4 - 2)180 = 2(180) = 360
Add the measures of the 4 angles and set equal to 360. We know y, so we substitute the value of 56 for y. Then we can solve for x.
x + y + 65 + 125 = 360
x + 56 + 190 = 360
x + 246 = 360
x = 360 - 246
x = 114