Answer:
x = 58°, y = 32°
Explanation:
all sides are equal, hence it is a rhombus.
in a rhombus, diagonals meet at 90degree..
hence in triangle,
58 + 90 + z = 180 (asp of a triangle.)
z = 32
y = z ( alternate interior angles as lines are parallel in rhombus)
y = 32
in the bigger triangle,
angles opposite to equal sides are equal, hence,
32 + 32 + (58 + x) = 180 ( angle sum property of a triangle,)
hence, x = 58
therefore,
x = 58°, y = 32°