Answer: The equation that is true regarding the angles formed by the diagonals and sides of the rhombus is the indicated in option A. x+y=z
Solution:
In a rhombus the diagonals are perpendicular, then the angle z° must be equal to 90° (z=90)
In any triangle, the sum of the interior angles must be equal to 180°, then according with the figure:
x°+y°+z°=180°
(x+y+z)°=180°
x+y+z=180
Like z=90
x+y+90=180
Subtracting 90 both sides of the equation:
x+y+90-90=180-90
x+y=90
Then:
x+y=90
z=90
90=90→x+y=
Answer: Option A. x+y=z