Question

Given the rhombus, find x and y Please help!!

Answer 1

Your answer would be Y=158 X=22

Answer 2

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