Question

4 find the value of each variable in the rhombus below.
(image of a rhombus with diagonals, angles labeled 28°, x°, y°, z°)
x =
y =
z =

Explanation:

Step1: Determine \( x \)

In a rhombus, the diagonals bisect the angles. So the angle labeled \( x^\circ \) is equal to the given \( 28^\circ \) angle. Thus, \( x = 28 \).

Step2: Determine \( y \) and \( z \)

The diagonals of a rhombus are perpendicular to each other, meaning they form right angles (\( 90^\circ \)) where they intersect. So both \( y \) and \( z \) are equal to \( 90 \).

Answer:

\( x = 28 \), \( y = 90 \), \( z = 90 \)