Question

find the value of x. * 1 part

Explanation:

Step1: Recall angle - sum property of a circle

The sum of angles around a point is 360°.

Step2: Set up the equation

$x + y+z + 18+64=360$. Without information about $y$ and $z$, assume the angles are formed by two pairs of vertical angles. If we assume the angles are arranged in a way that we can use angle - pair relationships, and since vertical angles are equal, we can also consider the fact that if we have no other information about the non - given angles, we can use the fact that the sum of the given non - $x$ angles and $x$ must equal 360°. Let's assume the angles are in a simple configuration. We know that the sum of the given angles $18^{\circ}$ and $64^{\circ}$ and $x$ and the other two angles $y$ and $z$ is 360°. If we assume the angles are such that we can directly solve for $x$ using the sum of angles around a point.
$x=360-(18 + 64)$

Step3: Calculate the value of x

$x=360 - 82$
$x = 278$

Answer:

$278$