Answer:
we know that, the point where the diagonals meet creates angles and these angles can indeed sum upto 360 degrees. and these angles, most likely are 90 degrees, since 90+90+90+90=360 degrees.( and the diagonals of a rhombus meet at approximately right angles)
lets take a triangle out of the rhombus, ( the triangle with angle 22)
here, we have two angles, 22 degrees and 90 degrees( angle at the diagonals); we also know that interior angles of a triangle is 180 degrees.
so, 22+90+unknown = 180 degrees
112+ unknown=180
unknown = 180 -112
= 68 degrees
we have found that the angle next to x is 68 degrees and that interior angles of the rhombus is 360, which means that each interior angle sums upto 90 degrees. lets take the angle beside x as z. since we have found that z= 68 degrees, 90-68 degrees gives x which is 22 degrees.
so, x= 22 and y= 90
