Question

find the value of x, y, and z in the rhombus below.

Explanation:

Step1: Use property of rhombus (opposite angles equal)

In a rhombus, opposite angles are equal. So, \(71^{\circ}=(-4z + 5)^{\circ}\)

$$
LATEXBLOCK0
$$

Also, \(71^{\circ}+(-6y + 1)^{\circ}=180^{\circ}\) (adjacent angles in a rhombus are supplementary)

$$
LATEXBLOCK1
$$

And \((-x - 8)^{\circ}=71^{\circ}\) (opposite angles are equal)

$$
LATEXBLOCK2
$$

Answer:

\(x=-79\), \(y = - 18\), \(z=-16.5\)