Given the the midsegment below:

bearing in mind that the midsegment in a triangle is always parallel to the base of the triangle.
In this case the segment with 14 units, then the angles of 31° and "x" are corresponding angles and therefore equal, x = 31°.
Likewise 62° and "y" are also corresponding angles, y = 62°.
Needless to say, the midsegment really makes two similar triangles.
Another feature of the midsegment of a triangle, is that is half the length of the base, namely, the base here is 14, then z = 14/2 = 7.
The angle of x in the triangle is 31 degrees.
A midsegment is the line segment connecting the midpoints of two sides of a triangle.
The midsegment is parallel to the base of the triangle and is half of the length of the third side.
The midsegment is parallel to the base of the triangle. Therefore,
x = 31 degrees (corresponding angles)
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