Question

given rhombus rstu below. if \\(\text{m}\angle svt = (x + 1)\degree\\), solve for \\(x\\).

Explanation:

Step1: Recall rhombus diagonal property

The diagonals of a rhombus are perpendicular, so $\text{m}\angle SVT = 90^\circ$.

Step2: Set up equation for $x$

Equate the given angle expression to 90:
$x + 1 = 90$

Step3: Solve for $x$

Subtract 1 from both sides:
$x = 90 - 1$

Answer:

$89$