Question

given rhombus uvwx below, m∠vwy = 57°. if m∠xwy = (-x - 2)°, solve for x.

Explanation:

Step1: Use rhombus diagonal angle property

In a rhombus, the diagonals bisect the interior angles, so $\text{m}\angle VWY = \text{m}\angle XWY$.

Step2: Set up equation for equality

$$57 = -x - 2$$

Step3: Solve for $x$

Rearrange to isolate $x$:
$$x = -2 - 57$$

Answer:

$x = -59$