Question

look at the diagram.
which equation can be used to solve for x?
$11x + 24 = 180$ $6x = 24$ $11x + 24 = 90$ $11x = 90$
solve for x.
$x = $

Explanation:

Step1: Identify right angle sum

The angle between $VP$ and $VS$ is a right angle ($90^\circ$), so the sum of $\angle PVQ$ and $\angle QVR$ and $\angle RVS$ equals $90^\circ$.
$$6x + 5x = 90$$

Step2: Simplify left side

Combine like terms.
$$11x = 90$$

Answer:

For the equation question:

11x = 90

For solving x:

$x=\frac{90}{11}\approx8.18$