Find the missing angle measures. the diagram is not to scale.

x = 114°

y = 56°

Step-by-step explanation:

y = 180 - 124

y = 56°

x = 360 - (125 + 65 + 56)

x = 360 - 246

x = 114°

x = 114

y = 56

Step-by-step 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

its 50 miles away from the starting point