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

Question

One side of the rhombus is 86°
the other side of the rhombus is (-3y+5)°
the third side of the rhombus is (x+3)°
the fourth side of the rhombus is (-9z+4)

Answer 1

In a rhombus, all the sides are equal. Since one side of the rhombus is given as 86°, this means that the other sides are also 86°.

So, we have:
Side 1: 86°
Side 2: (-3y + 5)°
Side 3: (x + 3)°
Side 4: (-9z + 4)°

Since all the sides are equal, we can set up equations to solve for x, y, and z.

86° = (-3y + 5)°
86° = (x + 3)°
86° = (-9z + 4)°

Simplifying these equations, we get:
3y = 81
x = 83
9z = -82

Solving for y, x, and z:
y = 27
x = 83
z = -9.1

Therefore, the values of x, y, and z in the rhombus are x = 83, y = 27, and z = -9.1.